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56258607232 = 2719411075273
BaseRepresentation
bin110100011001010001…
…100011100010000000
312101012202111100201201
4310121101203202000
51410204200412412
641502253110544
74031066162032
oct643121434200
9171182440651
1056258607232
112194a576323
12aaa0a88454
1353c75a2b09
142a19a19c52
1516e4061e57
hexd19463880

56258607232 has 128 divisors (see below), whose sum is σ = 122006606400. Its totient is φ = 25750978560.

The previous prime is 56258607187. The next prime is 56258607233. The reversal of 56258607232 is 23270685265.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (56258607233) 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 15 ways as a sum of consecutive naturals, for example, 10666548 + ... + 10671820.

Almost surely, 256258607232 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 56258607232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61003303200).

56258607232 is an abundant number, since it is smaller than the sum of its proper divisors (65747999168).

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

56258607232 is a wasteful number, since it uses less digits than its factorization.

56258607232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 56258607232 in words is "fifty-six billion, two hundred fifty-eight million, six hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 107 128 152 164 214 304 328 428 608 656 779 856 1216 1312 1558 1712 2033 2432 2624 3116 3424 4066 4387 5248 5273 6232 6848 8132 8774 10546 12464 13696 16264 17548 21092 24928 32528 35096 42184 49856 65056 70192 83353 84368 99712 100187 130112 140384 166706 168736 200374 216193 260224 280768 333412 337472 400748 432386 561536 564211 666824 674944 801496 864772 1128422 1333648 1602992 1729544 2256844 2667296 3205984 3459088 4107667 4513688 5334592 6411968 6918176 8215334 9027376 10669184 10720009 12823936 13836352 16430668 18054752 21440018 23132651 27672704 32861336 36109504 42880036 46265302 65722672 72219008 85760072 92530604 131445344 171520144 185061208 262890688 343040288 370122416 439520369 525781376 686080576 740244832 879040738 1372161152 1480489664 1758081476 2960979328 3516162952 7032325904 14064651808 28129303616 56258607232