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13256374032 = 24331126310607
BaseRepresentation
bin11000101100010010…
…00011011100010000
31021012212012120112000
430112021003130100
5204122112432112
610031230034000
7646335214536
oct142611033420
937185176460
1013256374032
115692972020
12269b648900
131333536705
148da824156
15528be47dc
hex316243710

13256374032 has 160 divisors (see below), whose sum is σ = 41671618560. Its totient is φ = 4001431680.

The previous prime is 13256373979. The next prime is 13256374049. The reversal of 13256374032 is 23047365231.

13256374032 is a `hidden beast` number, since 1 + 3 + 256 + 374 + 0 + 32 = 666.

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

It is an unprimeable number.

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, 1244473 + ... + 1255079.

It is an arithmetic number, because the mean of its divisors is an integer number (260447616).

Almost surely, 213256374032 is an apocalyptic number.

13256374032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13256374032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835809280).

13256374032 is an abundant number, since it is smaller than the sum of its proper divisors (28415244528).

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

13256374032 is a wasteful number, since it uses less digits than its factorization.

13256374032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 10886 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 13256374032 in words is "thirteen billion, two hundred fifty-six million, three hundred seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 263 264 297 396 432 526 528 594 789 792 1052 1188 1578 1584 2104 2367 2376 2893 3156 4208 4734 4752 5786 6312 7101 8679 9468 10607 11572 12624 14202 17358 18936 21214 23144 26037 28404 31821 34716 37872 42428 46288 52074 56808 63642 69432 78111 84856 95463 104148 113616 116677 127284 138864 156222 169712 190926 208296 233354 254568 286389 312444 350031 381852 416592 466708 509136 572778 624888 700062 763704 933416 1050093 1145556 1249776 1400124 1527408 1866832 2100186 2291112 2789641 2800248 3150279 4200372 4582224 5579282 5600496 6300558 8368923 8400744 11158564 12601116 16737846 16801488 22317128 25106769 25202232 30686051 33475692 44634256 50213538 50404464 61372102 66951384 75320307 92058153 100427076 122744204 133902768 150640614 184116306 200854152 245488408 276174459 301281228 368232612 401708304 490976816 552348918 602562456 736465224 828523377 1104697836 1205124912 1472930448 1657046754 2209395672 3314093508 4418791344 6628187016 13256374032