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107611338852 = 223217175835521
BaseRepresentation
bin110010000111000100…
…0101011100001100100
3101021202121201102021200
41210032020223201210
53230342000320402
6121234100242500
710526465200533
oct1441610534144
9337677642250
10107611338852
1141701882696
1218a329a0430
13a1bc681344
1452cbc7631a
152bec56121c
hex190e22b864

107611338852 has 36 divisors (see below), whose sum is σ = 288018585036. Its totient is φ = 33760419840.

The previous prime is 107611338839. The next prime is 107611338881. The reversal of 107611338852 is 258833116701.

It is a happy number.

107611338852 is a `hidden beast` number, since 107 + 6 + 113 + 388 + 52 = 666.

107611338852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 100937102436 + 6674236416 = 317706^2 + 81696^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 107611338798 and 107611338807.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87917149 + ... + 87918372.

It is an arithmetic number, because the mean of its divisors is an integer number (8000516251).

Almost surely, 2107611338852 is an apocalyptic number.

107611338852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107611338852 is an abundant number, since it is smaller than the sum of its proper divisors (180407246184).

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

107611338852 is a wasteful number, since it uses less digits than its factorization.

107611338852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175835548 (or 175835543 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 107611338852 in words is "one hundred seven billion, six hundred eleven million, three hundred thirty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 175835521 351671042 527506563 703342084 1055013126 1582519689 2110026252 2989203857 3165039378 5978407714 6330078756 8967611571 11956815428 17935223142 26902834713 35870446284 53805669426 107611338852