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56745054765 = 335789674693
BaseRepresentation
bin110100110110010001…
…001101001000101101
312102110122211110022000
4310312101031020231
51412203213223030
642022431242513
74046124002310
oct646621151055
9172418743260
1056745054765
112207a116583
12abb7979439
1354742c13a9
142a64484977
151721aee860
hexd3644d22d

56745054765 has 64 divisors (see below), whose sum is σ = 116587123200. Its totient is φ = 25649091072.

The previous prime is 56745054757. The next prime is 56745054787.

It is a happy number.

56745054765 is a `hidden beast` number, since 5 + 6 + 74 + 505 + 4 + 7 + 65 = 666.

56745054765 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56745054765 - 23 = 56745054757 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253242 + ... + 421451.

It is an arithmetic number, because the mean of its divisors is an integer number (1821673800).

Almost surely, 256745054765 is an apocalyptic number.

It is an amenable number.

56745054765 is an abundant number, since it is smaller than the sum of its proper divisors (59842068435).

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

56745054765 is a wasteful number, since it uses less digits than its factorization.

56745054765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674803 (or 674797 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 56745054765 in words is "fifty-six billion, seven hundred forty-five million, fifty-four thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 89 105 135 189 267 315 445 623 801 945 1335 1869 2403 3115 4005 5607 9345 12015 16821 28035 84105 674693 2024079 3373465 4722851 6072237 10120395 14168553 18216711 23614255 30361185 42505659 60047677 70842765 91083555 127516977 180143031 212528295 300238385 420333739 540429093 637584885 900715155 1261001217 1621287279 2101668695 2702145465 3783003651 6305006085 8106436395 11349010953 18915018255 56745054765