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319683295116 = 223261145575271
BaseRepresentation
bin1001010011011101001…
…10111111011110001100
31010120011021112000120100
410221232212333132030
520214202410420431
6402505510251100
732045023113363
oct4515646773614
91116137460510
10319683295116
11113638982249
1251b59356a90
13241b8a0a0b3
14116893467da
1584b071b4e6
hex4a6e9bf78c

319683295116 has 36 divisors (see below), whose sum is σ = 821335684624. Its totient is φ = 104814194400.

The previous prime is 319683295097. The next prime is 319683295147. The reversal of 319683295116 is 611592386913.

319683295116 is a `hidden beast` number, since 3 + 1 + 96 + 8 + 32 + 9 + 511 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72785440 + ... + 72789831.

Almost surely, 2319683295116 is an apocalyptic number.

319683295116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

319683295116 is an abundant number, since it is smaller than the sum of its proper divisors (501652389508).

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

319683295116 is a wasteful number, since it uses less digits than its factorization.

319683295116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145575342 (or 145575337 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 319683295116 in words is "three hundred nineteen billion, six hundred eighty-three million, two hundred ninety-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 145575271 291150542 436725813 582301084 873451626 1310177439 1746903252 2620354878 5240709756 8880091531 17760183062 26640274593 35520366124 53280549186 79920823779 106561098372 159841647558 319683295116