Search a number
-
+
152311131054 = 235313397389
BaseRepresentation
bin1000110111011001110…
…0110110101110101110
3112120010211021010200000
42031312130312232232
54443413122143204
6153545404045130
714001261152445
oct2156634665656
9476124233600
10152311131054
115965a732115
12256288337a6
1311494320c24
14752c6b9d5c
153e6694e039
hex2376736bae

152311131054 has 24 divisors (see below), whose sum is σ = 342229949880. Its totient is φ = 50770376856.

The previous prime is 152311131053. The next prime is 152311131073. The reversal of 152311131054 is 450131113251.

152311131054 is a `hidden beast` number, since 1 + 523 + 1 + 1 + 131 + 0 + 5 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152311131053) by changing a digit.

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, 156698209 + ... + 156699180.

It is an arithmetic number, because the mean of its divisors is an integer number (14259581245).

Almost surely, 2152311131054 is an apocalyptic number.

152311131054 is an abundant number, since it is smaller than the sum of its proper divisors (189918818826).

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

152311131054 is an equidigital number, since it uses as much as digits as its factorization.

152311131054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313397406 (or 313397394 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 152311131054 in words is "one hundred fifty-two billion, three hundred eleven million, one hundred thirty-one thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 313397389 626794778 940192167 1880384334 2820576501 5641153002 8461729503 16923459006 25385188509 50770377018 76155565527 152311131054