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20273273563248 = 24332811627102647
BaseRepresentation
bin1001001110000001111010…
…10001001110100001110000
32122210002212021212212121000
410213000331101032201300
510124124131013010443
6111041225135002000
74161460422002466
oct447007521164160
978702767785530
1020273273563248
116506935448882
12233511a369300
13b409b9004714
14501335a0c836
1525254aeea8d3
hex12703d44e870

20273273563248 has 160 divisors (see below), whose sum is σ = 58435354897920. Its totient is φ = 6729504606720.

The previous prime is 20273273563243. The next prime is 20273273563271. The reversal of 20273273563248 is 84236537237202.

20273273563248 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 3 + 2 + 73 + 563 + 2 + 4 + 8 = 666.

It is a super-2 number, since 2×202732735632482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20273273563194 and 20273273563203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20273273563243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197453461 + ... + 197556107.

It is an arithmetic number, because the mean of its divisors is an integer number (365220968112).

Almost surely, 220273273563248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20273273563248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29217677448960).

20273273563248 is an abundant number, since it is smaller than the sum of its proper divisors (38162081334672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20273273563248 is a wasteful number, since it uses less digits than its factorization.

20273273563248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104572 (or 104560 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 20273273563248 in words is "twenty trillion, two hundred seventy-three billion, two hundred seventy-three million, five hundred sixty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 432 562 843 1124 1627 1686 2248 2529 3254 3372 4496 4881 5058 6508 6744 7587 9762 10116 13016 13488 14643 15174 19524 20232 26032 29286 30348 39048 40464 43929 58572 60696 78096 87858 102647 117144 121392 175716 205294 234288 307941 351432 410588 457187 615882 702864 821176 914374 923823 1231764 1371561 1642352 1828748 1847646 2463528 2743122 2771469 3657496 3695292 4114683 4927056 5486244 5542938 7314992 7390584 8229366 10972488 11085876 12344049 14781168 16458732 21944976 22171752 24688098 28843807 32917464 44343504 49376196 57687614 65834928 86531421 98752392 115375228 167006669 173062842 197504784 230750456 259594263 334013338 346125684 461500912 501020007 519188526 668026676 692251368 778782789 1002040014 1038377052 1336053352 1384502736 1503060021 1557565578 2004080028 2076754104 2672106704 3006120042 3115131156 4008160056 4153508208 4509180063 6012240084 6230262312 8016320112 9018360126 12024480168 12460524624 18036720252 24048960336 36073440504 46928873989 72146881008 93857747978 140786621967 187715495956 281573243934 375430991912 422359865901 563146487868 750861983824 844719731802 1126292975736 1267079597703 1689439463604 2252585951472 2534159195406 3378878927208 5068318390812 6757757854416 10136636781624 20273273563248