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203442419824 = 24729314434561
BaseRepresentation
bin1011110101111000011…
…1001111100001110000
3201110010020210201201221
42331132013033201300
511313122224413244
6233243221034424
720461331015260
oct2753607174160
9643106721657
10203442419824
1179308a40166
1233518555a14
1316252578097
149bbd3717a0
15545a7aa784
hex2f5e1cf870

203442419824 has 160 divisors (see below), whose sum is σ = 482237706240. Its totient is φ = 81265766400.

The previous prime is 203442419821. The next prime is 203442419827. The reversal of 203442419824 is 428914244302.

It is an interprime number because it is at equal distance from previous prime (203442419821) and next prime (203442419827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203442419821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44602504 + ... + 44607064.

It is an arithmetic number, because the mean of its divisors is an integer number (3013985664).

Almost surely, 2203442419824 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 203442419824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241118853120).

203442419824 is an abundant number, since it is smaller than the sum of its proper divisors (278795286416).

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

203442419824 is a wasteful number, since it uses less digits than its factorization.

203442419824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 203442419824 in words is "two hundred three billion, four hundred forty-two million, four hundred nineteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 31 56 58 62 112 116 124 203 217 232 248 406 434 443 464 496 812 868 886 899 1624 1736 1772 1798 3101 3248 3472 3544 3596 4561 6202 6293 7088 7192 9122 12404 12586 12847 13733 14384 18244 24808 25172 25694 27466 31927 36488 49616 50344 51388 54932 63854 72976 89929 96131 100688 102776 109864 127708 132269 141391 179858 192262 205552 219728 255416 264538 282782 359716 384524 398257 510832 529076 565564 719432 769048 796514 925883 989737 1058152 1131128 1438864 1538096 1593028 1851766 1979474 2020523 2116304 2262256 2787799 3186056 3703532 3958948 4041046 4100339 5575598 6372112 7407064 7917896 8082092 8200678 11151196 14143661 14814128 15835792 16164184 16401356 22302392 28287322 28702373 32328368 32802712 44604784 56574644 57404746 58595167 62636213 65605424 113149288 114809492 117190334 125272426 226298576 229618984 234380668 250544852 410166169 438453491 459237968 468761336 501089704 820332338 876906982 937522672 1002179408 1640664676 1753813964 1816450177 3281329352 3507627928 3632900354 6562658704 7015255856 7265800708 12715151239 14531601416 25430302478 29063202832 50860604956 101721209912 203442419824