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56786142105 = 32571116388497
BaseRepresentation
bin110100111000101101…
…111100001110011001
312102120112010220112100
4310320231330032121
51412244223021410
642030500034013
74050133146420
oct647055741631
9172515126470
1056786142105
11220a032a060
12b009692909
13547c978b24
142a69adc2b7
1517255188c0
hexd38b7c399

56786142105 has 48 divisors (see below), whose sum is σ = 122717073024. Its totient is φ = 23599434240.

The previous prime is 56786142097. The next prime is 56786142139. The reversal of 56786142105 is 50124168765.

56786142105 is a `hidden beast` number, since 5 + 6 + 7 + 8 + 614 + 21 + 0 + 5 = 666.

It is not a de Polignac number, because 56786142105 - 23 = 56786142097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8190784 + ... + 8197713.

It is an arithmetic number, because the mean of its divisors is an integer number (2556605688).

Almost surely, 256786142105 is an apocalyptic number.

56786142105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56786142105 is an abundant number, since it is smaller than the sum of its proper divisors (65930930919).

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

56786142105 is a wasteful number, since it uses less digits than its factorization.

56786142105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16388526 (or 16388523 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

It can be divided in two parts, 56786 and 142105, that added together give a palindrome (198891).

The spelling of 56786142105 in words is "fifty-six billion, seven hundred eighty-six million, one hundred forty-two thousand, one hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 16388497 49165491 81942485 114719479 147496473 180273467 245827455 344158437 540820401 573597395 737482365 901367335 1032475311 1261914269 1622461203 1720792185 2704102005 3785742807 5162376555 6309571345 8112306015 11357228421 18928714035 56786142105