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5656100164 = 22111331372233
BaseRepresentation
bin1010100010010000…
…10011110101000100
3112121011221122210021
411101020103311010
543040430201124
62333125504524
7260110025641
oct52110236504
915534848707
105656100164
1124427a2850
12111a272144
136c1a6a340
143b928cdc8
152318567e4
hex151213d44

5656100164 has 144 divisors (see below), whose sum is σ = 12389884416. Its totient is φ = 2224972800.

The previous prime is 5656100161. The next prime is 5656100189. The reversal of 5656100164 is 4610016565.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5656100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24274992 + ... + 24275224.

It is an arithmetic number, because the mean of its divisors is an integer number (86040864).

Almost surely, 25656100164 is an apocalyptic number.

It is an amenable number.

5656100164 is an abundant number, since it is smaller than the sum of its proper divisors (6733784252).

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

5656100164 is a wasteful number, since it uses less digits than its factorization.

5656100164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 5656100164 is about 75207.0486324254. The cubic root of 5656100164 is about 1781.7182587469.

The spelling of 5656100164 in words is "five billion, six hundred fifty-six million, one hundred thousand, one hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 31 37 44 52 62 74 124 143 148 233 286 341 403 407 466 481 572 682 806 814 932 962 1147 1364 1369 1612 1628 1924 2294 2563 2738 3029 4433 4588 5126 5291 5476 6058 7223 8621 8866 10252 10582 12116 12617 14446 14911 15059 17242 17732 17797 21164 25234 28892 29822 30118 33319 34484 35594 42439 50468 59644 60236 66638 71188 79453 84878 93899 94831 112073 133276 158906 164021 169756 187798 189662 195767 224146 267251 317812 318977 328042 375596 379324 391534 448292 466829 534502 551707 637954 656084 783068 933658 1032889 1069004 1103414 1232803 1275908 1867316 2065778 2206828 2465606 2939761 3474263 3508747 4131556 4146701 4931212 5879522 6068777 6948526 7017494 8293402 9888287 11759044 12137554 13897052 14034988 16586804 19776574 24275108 38216893 39553148 45613711 76433786 91227422 108771157 128547731 152867572 182454844 217542314 257095462 435084628 514190924 1414025041 2828050082 5656100164