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107766700710084 = 223213701328488913
BaseRepresentation
bin11000100000001101100011…
…111010100001100011000100
3112010120101200122221001100200
4120200031203322201203010
5103111122200340210314
61021111201105210500
731461613210001553
oct3040154372414304
9463511618831320
10107766700710084
11313796680958a9
1210105aaa030a30
134819482961aa0
141c87d16ad1d9a
15c6d3d4bc4709
hex620363ea18c4

107766700710084 has 72 divisors (see below), whose sum is σ = 293783403258072. Its totient is φ = 33111682329600.

The previous prime is 107766700710083. The next prime is 107766700710143. The reversal of 107766700710084 is 480017007667701.

It can be written as a sum of positive squares in 4 ways, for example, as 26874664710084 + 80892036000000 = 5184078^2 + 8994000^2 .

It is a super-2 number, since 2×1077667007100842 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107766700710084.

It is not an unprimeable number, because it can be changed into a prime (107766700710083) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 163916389 + ... + 164572524.

It is an arithmetic number, because the mean of its divisors is an integer number (4080325045251).

Almost surely, 2107766700710084 is an apocalyptic number.

It is an amenable number.

107766700710084 is an abundant number, since it is smaller than the sum of its proper divisors (186016702547988).

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

107766700710084 is a wasteful number, since it uses less digits than its factorization.

107766700710084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328489637 (or 328489632 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 54.

The spelling of 107766700710084 in words is "one hundred seven trillion, seven hundred sixty-six billion, seven hundred million, seven hundred ten thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 701 1402 2103 2804 4206 6309 8412 9113 12618 18226 25236 27339 36452 54678 82017 109356 164034 328068 328488913 656977826 985466739 1313955652 1970933478 2956400217 3941866956 4270355869 5912800434 8540711738 11825600868 12811067607 17081423476 25622135214 38433202821 51244270428 76866405642 153732811284 230270728013 460541456026 690812184039 921082912052 1381624368078 2072436552117 2763248736156 2993519464169 4144873104234 5987038928338 8289746208468 8980558392507 11974077856676 17961116785014 26941675177521 35922233570028 53883350355042 107766700710084