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256112134524 = 22345967199967
BaseRepresentation
bin1110111010000101111…
…0010000100101111100
3220111001220011110110000
43232201132100211330
513144004201301044
6313353431514300
724334461136641
oct3564136204574
9814056143400
10256112134524
11996866943a4
1241777528990
131b1c745973c
14c57848ddc8
1569de701d69
hex3ba179097c

256112134524 has 120 divisors (see below), whose sum is σ = 691041415680. Its totient is φ = 82670743584.

The previous prime is 256112134489. The next prime is 256112134541. The reversal of 256112134524 is 425431211652.

256112134524 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 121 + 3 + 4 + 524 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1180789 + ... + 1380755.

It is an arithmetic number, because the mean of its divisors is an integer number (5758678464).

Almost surely, 2256112134524 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 256112134524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345520707840).

256112134524 is an abundant number, since it is smaller than the sum of its proper divisors (434929281156).

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

256112134524 is a wasteful number, since it uses less digits than its factorization.

256112134524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200109 (or 200098 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 256112134524 in words is "two hundred fifty-six billion, one hundred twelve million, one hundred thirty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 67 81 108 118 134 162 177 201 236 268 324 354 402 531 603 708 804 1062 1206 1593 1809 2124 2412 3186 3618 3953 4779 5427 6372 7236 7906 9558 10854 11859 15812 19116 21708 23718 35577 47436 71154 106731 142308 199967 213462 320193 399934 426924 599901 640386 799868 1199802 1280772 1799703 2399604 3599406 5399109 7198812 10798218 11798053 13397789 16197327 21596436 23596106 26795578 32394654 35394159 40193367 47192212 53591156 64789308 70788318 80386734 106182477 120580101 141576636 160773468 212364954 241160202 318547431 361740303 424729908 482320404 637094862 723480606 790469551 955642293 1085220909 1274189724 1446961212 1580939102 1911284586 2170441818 2371408653 3161878204 3822569172 4340883636 4742817306 7114225959 9485634612 14228451918 21342677877 28456903836 42685355754 64028033631 85370711508 128056067262 256112134524