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20517748848 = 243397659743
BaseRepresentation
bin10011000110111101…
…000000000001110000
31221221220202122011000
4103012331000001300
5314010020430343
613231542322000
71324306662522
oct230675000160
957856678130
1020517748848
118779809433
123b87429300
131c1ca355bc
14dc8d7ba12
1580143ced3
hex4c6f40070

20517748848 has 160 divisors (see below), whose sum is σ = 59671180800. Its totient is φ = 6749374464.

The previous prime is 20517748843. The next prime is 20517748883. The reversal of 20517748848 is 84884771502.

20517748848 is a `hidden beast` number, since 2 + 0 + 51 + 77 + 488 + 48 = 666.

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 = 20517748794 and 20517748803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20517748841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27614365 + ... + 27615107.

It is an arithmetic number, because the mean of its divisors is an integer number (372944880).

Almost surely, 220517748848 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 20517748848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29835590400).

20517748848 is an abundant number, since it is smaller than the sum of its proper divisors (39153431952).

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

20517748848 is a wasteful number, since it uses less digits than its factorization.

20517748848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 20517748848 in words is "twenty billion, five hundred seventeen million, seven hundred forty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 291 388 432 582 659 743 776 873 1164 1318 1486 1552 1746 1977 2229 2328 2619 2636 2972 3492 3954 4458 4656 5238 5272 5931 5944 6687 6984 7908 8916 10476 10544 11862 11888 13374 13968 15816 17793 17832 20061 20952 23724 26748 31632 35586 35664 40122 41904 47448 53496 63923 71172 72071 80244 94896 106992 127846 142344 144142 160488 191769 216213 255692 284688 288284 320976 383538 432426 489637 511384 575307 576568 648639 767076 864852 979274 1022768 1150614 1153136 1297278 1468911 1534152 1725921 1729704 1945917 1958548 2301228 2594556 2937822 3068304 3451842 3459408 3891834 3917096 4406733 4602456 5189112 5875644 6903684 7783668 7834192 8813466 9204912 10378224 11751288 13220199 13807368 15567336 17626932 23502576 26440398 27614736 31134672 35253864 47494789 52880796 70507728 94989578 105761592 142484367 189979156 211523184 284968734 379958312 427453101 569937468 759916624 854906202 1139874936 1282359303 1709812404 2279749872 2564718606 3419624808 5129437212 6839249616 10258874424 20517748848