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56814529896 = 23332361187477
BaseRepresentation
bin110100111010011010…
…001110110101101000
312102122111120011021000
4310322122032311220
51412324004424041
642033352315000
74050626351565
oct647232166550
9172574504230
1056814529896
1122105359243
12b0170a2a60
135485808037
142a6d7ab86c
151727c74bb6
hexd3a68ed68

56814529896 has 128 divisors (see below), whose sum is σ = 167380358400. Its totient is φ = 17817719040.

The previous prime is 56814529883. The next prime is 56814529927. The reversal of 56814529896 is 69892541865.

56814529896 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 452 + 98 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209310 + ... + 396786.

It is an arithmetic number, because the mean of its divisors is an integer number (1307659050).

Almost surely, 256814529896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56814529896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83690179200).

56814529896 is an abundant number, since it is smaller than the sum of its proper divisors (110565828504).

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

56814529896 is a wasteful number, since it uses less digits than its factorization.

56814529896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187576 (or 187566 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 56814529896 in words is "fifty-six billion, eight hundred fourteen million, five hundred twenty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 61 69 72 92 108 122 138 183 184 207 216 244 276 366 414 488 549 552 621 732 828 1098 1242 1403 1464 1647 1656 2196 2484 2806 3294 4209 4392 4968 5612 6588 8418 11224 12627 13176 16836 25254 33672 37881 50508 75762 101016 151524 187477 303048 374954 562431 749908 1124862 1499816 1687293 2249724 3374586 4311971 4499448 5061879 6749172 8623942 10123758 11436097 12935913 13498344 17247884 20247516 22872194 25871826 34308291 34495768 38807739 40495032 45744388 51743652 68616582 77615478 91488776 102924873 103487304 116423217 137233164 155230956 205849746 232846434 263030231 274466328 308774619 310461912 411699492 465692868 526060462 617549238 789090693 823398984 931385736 1052120924 1235098476 1578181386 2104241848 2367272079 2470196952 3156362772 4734544158 6312725544 7101816237 9469088316 14203632474 18938176632 28407264948 56814529896