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56776665660 = 223511136617327
BaseRepresentation
bin110100111000001001…
…110010101000111100
312102112212022110021220
4310320021302220330
51412234311300120
642025520553340
74046656460331
oct647011625074
9172485273256
1056776665660
1122095a47290
12b006482850
13547aa0b670
142a68752988
151724795b40
hexd38272a3c

56776665660 has 96 divisors (see below), whose sum is σ = 186767465472. Its totient is φ = 12705265920.

The previous prime is 56776665611. The next prime is 56776665677. The reversal of 56776665660 is 6656667765.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 56776665594 and 56776665603.

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 31 ways as a sum of consecutive naturals, for example, 3300084 + ... + 3317243.

It is an arithmetic number, because the mean of its divisors is an integer number (1945494432).

Almost surely, 256776665660 is an apocalyptic number.

It is an amenable number.

56776665660 is an abundant number, since it is smaller than the sum of its proper divisors (129990799812).

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

56776665660 is a wasteful number, since it uses less digits than its factorization.

56776665660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617363 (or 6617361 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 60.

The spelling of 56776665660 in words is "fifty-six billion, seven hundred seventy-six million, six hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 6617327 13234654 19851981 26469308 33086635 39703962 66173270 72790597 79407924 86025251 99259905 132346540 145581194 172050502 198519810 218371791 258075753 291162388 344101004 363952985 397039620 430126255 436743582 516151506 727905970 860252510 873487164 946277761 1032303012 1091858955 1290378765 1455811940 1720505020 1892555522 2183717910 2580757530 2838833283 3785111044 4367435820 4731388805 5161515060 5677666566 9462777610 11355333132 14194166415 18925555220 28388332830 56776665660