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13252056832 = 28723476841
BaseRepresentation
bin11000101011110001…
…00101011100000000
31021012120002020102201
430111320211130000
5204120011304312
610030553322544
7646253424130
oct142570453400
937176066381
1013252056832
115690493493
12269a106454
131332684661
148da01cac0
15528640557
hex315e25700

13252056832 has 144 divisors (see below), whose sum is σ = 32221550592. Its totient is φ = 5316157440.

The previous prime is 13252056817. The next prime is 13252056889. The reversal of 13252056832 is 23865025231.

It is a junction number, because it is equal to n+sod(n) for n = 13252056791 and 13252056800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1933732 + ... + 1940572.

It is an arithmetic number, because the mean of its divisors is an integer number (223760768).

Almost surely, 213252056832 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 13252056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16110775296).

13252056832 is an abundant number, since it is smaller than the sum of its proper divisors (18969493760).

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

13252056832 is an equidigital number, since it uses as much as digits as its factorization.

13252056832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934 (or 6920 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 13252056832 in words is "thirteen billion, two hundred fifty-two million, fifty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 47 56 64 92 94 112 128 161 184 188 224 256 322 329 368 376 448 644 658 736 752 896 1081 1288 1316 1472 1504 1792 2162 2576 2632 2944 3008 4324 5152 5264 5888 6016 6841 7567 8648 10304 10528 12032 13682 15134 17296 20608 21056 27364 30268 34592 41216 42112 47887 54728 60536 69184 84224 95774 109456 121072 138368 157343 191548 218912 242144 276736 314686 321527 383096 437824 484288 629372 643054 766192 875648 968576 1101401 1258744 1286108 1532384 1751296 1937152 2202802 2250689 2517488 2572216 3064768 4405604 4501378 5034976 5144432 6129536 7395121 8811208 9002756 10069952 10288864 12259072 14790242 17622416 18005512 20139904 20577728 29580484 35244832 36011024 40279808 41155456 51765847 59160968 70489664 72022048 82310912 103531694 118321936 140979328 144044096 207063388 236643872 281958656 288088192 414126776 473287744 576176384 828253552 946575488 1656507104 1893150976 3313014208 6626028416 13252056832