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51662123136 = 2733131149887
BaseRepresentation
bin110000000111010011…
…010111000010000000
311221100102101202221000
4300013103113002000
51321301000420021
635422214332000
73506143541541
oct600723270200
9157312352830
1051662123136
111aa00a15838
12a01965a000
134b44216c40
1427013964c8
151525765b26
hexc074d7080

51662123136 has 128 divisors (see below), whose sum is σ = 164204006400. Its totient is φ = 15896024064.

The previous prime is 51662123101. The next prime is 51662123143. The reversal of 51662123136 is 63132126615.

51662123136 is a `hidden beast` number, since 5 + 1 + 6 + 621 + 23 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51662123136.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 530016 + ... + 619871.

It is an arithmetic number, because the mean of its divisors is an integer number (1282843800).

Almost surely, 251662123136 is an apocalyptic number.

It is an amenable number.

51662123136 is an abundant number, since it is smaller than the sum of its proper divisors (112541883264).

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

51662123136 is a wasteful number, since it uses less digits than its factorization.

51662123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149923 (or 1149905 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 51662123136 in words is "fifty-one billion, six hundred sixty-two million, one hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 1149887 2299774 3449661 4599548 6899322 9199096 10348983 13798644 14948531 18398192 20697966 27597288 29897062 31046949 36796384 41395932 44845593 55194576 59794124 62093898 73592768 82791864 89691186 110389152 119588248 124187796 134536779 147185536 165583728 179382372 220778304 239176496 248375592 269073558 331167456 358764744 403610337 441556608 478352992 496751184 538147116 662334912 717529488 807220674 956705984 993502368 1076294232 1324669824 1435058976 1614441348 1913411968 1987004736 2152588464 2870117952 3228882696 3974009472 4305176928 5740235904 6457765392 8610353856 12915530784 17220707712 25831061568 51662123136