Search a number
-
+
157238565832751 = 13211322917752733
BaseRepresentation
bin100011110000000111110100…
…110111001000100000101111
3202121201212020000010202012012
4203300013310313020200233
5131102144040323122001
61314230222215231435
745056053146143024
oct4360076467104057
9677655200122165
10157238565832751
1146112557236757
1215775a7967857b
1369976c13b3790
142ab855c65754b
15132a208be62bb
hex8f01f4dc882f

157238565832751 has 16 divisors (see below), whose sum is σ = 170189069873760. Its totient is φ = 144410663617920.

The previous prime is 157238565832693. The next prime is 157238565832757.

157238565832751 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-157238565832751 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157238565832757) 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 15 ways as a sum of consecutive naturals, for example, 19220 + ... + 17733513.

It is an arithmetic number, because the mean of its divisors is an integer number (10636816867110).

Almost surely, 2157238565832751 is an apocalyptic number.

157238565832751 is a deficient number, since it is larger than the sum of its proper divisors (12950504041009).

157238565832751 is a wasteful number, since it uses less digits than its factorization.

157238565832751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17756186.

The product of its digits is 423360000, while the sum is 68.

The spelling of 157238565832751 in words is "one hundred fifty-seven trillion, two hundred thirty-eight billion, five hundred sixty-five million, eight hundred thirty-two thousand, seven hundred fifty-one".

Divisors: 1 13 211 2743 3229 41977 681319 8857147 17752733 230785529 3745826663 48695746619 57323574857 745206473141 12095274294827 157238565832751