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56475754128 = 243217191214219
BaseRepresentation
bin110100100110001101…
…111001111010010000
312101202220002120021100
4310212031321322100
51411130243113003
641540011224400
74036343663253
oct644615717220
9171686076240
1056475754128
1121a510aaa72
12ab41748100
1354305819c1
142a3a7c309a
151708156ba3
hexd26379e90

56475754128 has 120 divisors (see below), whose sum is σ = 176159037600. Its totient is φ = 16785349632.

The previous prime is 56475754123. The next prime is 56475754157. The reversal of 56475754128 is 82145757465.

It is a happy number.

56475754128 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 575 + 41 + 28 = 666.

56475754128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56475754123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560598 + ... + 653621.

It is an arithmetic number, because the mean of its divisors is an integer number (1467991980).

Almost surely, 256475754128 is an apocalyptic number.

It is an amenable number.

56475754128 is an abundant number, since it is smaller than the sum of its proper divisors (119683283472).

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

56475754128 is a wasteful number, since it uses less digits than its factorization.

56475754128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214269 (or 1214260 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 56475754128 in words is "fifty-six billion, four hundred seventy-five million, seven hundred fifty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2448 2584 2736 2907 3876 5168 5814 7752 11628 15504 23256 46512 1214219 2428438 3642657 4856876 7285314 9713752 10927971 14570628 19427504 20641723 21855942 23070161 29141256 41283446 43711884 46140322 58282512 61925169 69210483 82566892 87423768 92280644 123850338 138420966 165133784 174847536 184561288 185775507 207631449 247700676 276841932 330267568 369122576 371551014 392192737 415262898 495401352 553683864 743102028 784385474 830525796 990802704 1107367728 1176578211 1486204056 1568770948 1661051592 2353156422 2972408112 3137541896 3322103184 3529734633 4706312844 6275083792 7059469266 9412625688 14118938532 18825251376 28237877064 56475754128