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56309982396160 = 2851911087211891
BaseRepresentation
bin11001100110110101100000…
…11111110111111100000000
321101101011220111021002222111
430303122300133313330000
524340040320443134120
6315432240534545104
714601155600010523
oct1463326037677400
9241334814232874
1056309982396160
1116a3aa25078819
126395303208194
132556015a4725c
14dc95bc1d8bba
15679b4283875a
hex3336b07f7f00

56309982396160 has 144 divisors (see below), whose sum is σ = 135711557517312. Its totient is φ = 22385347891200.

The previous prime is 56309982396127. The next prime is 56309982396211. The reversal of 56309982396160 is 6169328990365.

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, 265643815 + ... + 265855705.

It is an arithmetic number, because the mean of its divisors is an integer number (942441371648).

Almost surely, 256309982396160 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 56309982396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67855778758656).

56309982396160 is an abundant number, since it is smaller than the sum of its proper divisors (79401575121152).

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

56309982396160 is a wasteful number, since it uses less digits than its factorization.

56309982396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213190 (or 213176 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 67.

The spelling of 56309982396160 in words is "fifty-six trillion, three hundred nine billion, nine hundred eighty-two million, three hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 191 256 320 382 640 764 955 1087 1280 1528 1910 2174 3056 3820 4348 5435 6112 7640 8696 10870 12224 15280 17392 21740 24448 30560 34784 43480 48896 61120 69568 86960 122240 139136 173920 207617 211891 244480 278272 347840 415234 423782 695680 830468 847564 1038085 1059455 1391360 1660936 1695128 2076170 2118910 3321872 3390256 4152340 4237820 6643744 6780512 8304680 8475640 13287488 13561024 16609360 16951280 26574976 27122048 33218720 33902560 40471181 53149952 54244096 66437440 67805120 80942362 132874880 135610240 161884724 202355905 230325517 265749760 271220480 323769448 404711810 460651034 647538896 809423620 921302068 1151627585 1295077792 1618847240 1842604136 2303255170 2590155584 3237694480 3685208272 4606510340 5180311168 6475388960 7370416544 9213020680 10360622336 12950777920 14740833088 18426041360 25901555840 29481666176 36852082720 43992173747 51803111680 58963332352 73704165440 87984347494 147408330880 175968694988 219960868735 294816661760 351937389976 439921737470 703874779952 879843474940 1407749559904 1759686949880 2815499119808 3519373899760 5630998239616 7038747799520 11261996479232 14077495599040 28154991198080 56309982396160