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56575044356240 = 24541115314959661
BaseRepresentation
bin11001101110100011001110…
…11011000000100010010000
321102022112002010002211001002
430313101213123000202100
524403411142323344430
6320154114440401132
714626261224336404
oct1467214733004220
9242275063084032
1056575044356240
11170323836a3563
126418757a761a8
132575008437357
14dd836515d104
156819a7b05845
hex3374676c0890

56575044356240 has 80 divisors (see below), whose sum is σ = 134862070993776. Its totient is φ = 22058916249600.

The previous prime is 56575044356231. The next prime is 56575044356249. The reversal of 56575044356240 is 4265344057565.

It is an interprime number because it is at equal distance from previous prime (56575044356231) and next prime (56575044356249).

It can be written as a sum of positive squares in 8 ways, for example, as 11348214784 + 56563696141456 = 106528^2 + 7520884^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (56575044356249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3697991 + ... + 11261670.

Almost surely, 256575044356240 is an apocalyptic number.

It is an amenable number.

56575044356240 is an abundant number, since it is smaller than the sum of its proper divisors (78287026637536).

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

56575044356240 is a wasteful number, since it uses less digits than its factorization.

56575044356240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14960868 (or 14960862 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 56.

The spelling of 56575044356240 in words is "fifty-six trillion, five hundred seventy-five billion, forty-four million, three hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1153 1640 2306 3280 4612 5765 9224 11530 18448 23060 46120 47273 92240 94546 189092 236365 378184 472730 756368 945460 1890920 3781840 14959661 29919322 59838644 74798305 119677288 149596610 239354576 299193220 598386440 613346101 1196772880 1226692202 2453384404 3066730505 4906768808 6133461010 9813537616 12266922020 17248489133 24533844040 34496978266 49067688080 68993956532 86242445665 137987913064 172484891330 275975826128 344969782660 689939565320 707188054453 1379879130640 1414376108906 2828752217812 3535940272265 5657504435624 7071880544530 11315008871248 14143761089060 28287522178120 56575044356240