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56314321632 = 2533471386779
BaseRepresentation
bin110100011100100110…
…000101101011100000
312101100122022221112000
4310130212011223200
51410312431243012
641512003204000
74032343556502
oct643446055340
9171318287460
1056314321632
1121978a6a388
12aab7676600
135405cac20a
142a2319dd72
1516e8db9ddc
hexd1c985ae0

56314321632 has 96 divisors (see below), whose sum is σ = 167744908800. Its totient is φ = 18372034944.

The previous prime is 56314321627. The next prime is 56314321699. The reversal of 56314321632 is 23612341365.

56314321632 is a `hidden beast` number, since 5 + 6 + 3 + 14 + 3 + 2 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 652782 + ... + 733997.

It is an arithmetic number, because the mean of its divisors is an integer number (1747342800).

Almost surely, 256314321632 is an apocalyptic number.

It is an amenable number.

56314321632 is an abundant number, since it is smaller than the sum of its proper divisors (111430587168).

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

56314321632 is a wasteful number, since it uses less digits than its factorization.

56314321632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386845 (or 1386831 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 56314321632 its reverse (23612341365), we get a palindrome (79926662997).

The spelling of 56314321632 in words is "fifty-six billion, three hundred fourteen million, three hundred twenty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1269 1504 1692 2256 2538 3384 4512 5076 6768 10152 13536 20304 40608 1386779 2773558 4160337 5547116 8320674 11094232 12481011 16641348 22188464 24962022 33282696 37443033 44376928 49924044 65178613 66565392 74886066 99848088 130357226 133130784 149772132 195535839 199696176 260714452 299544264 391071678 399392352 521428904 586607517 599088528 782143356 1042857808 1173215034 1198177056 1564286712 1759822551 2085715616 2346430068 3128573424 3519645102 4692860136 6257146848 7039290204 9385720272 14078580408 18771440544 28157160816 56314321632