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152637894721 = 1324127332
BaseRepresentation
bin1000111000100111101…
…1010111000001000001
3112120222121010110011001
42032021323113001001
510000100300112341
6154042035452001
714012336461264
oct2161173270101
9476877113131
10152637894721
1159808126534
12256ba157001
1311516c2c900
14755dc58cdb
153e85497d31
hex2389ed7041

152637894721 has 27 divisors (see below), whose sum is σ = 169643494107. Its totient is φ = 137272487040.

The previous prime is 152637894701. The next prime is 152637894811. The reversal of 152637894721 is 127498736251.

The square root of 152637894721 is 390689.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 121549152321 + 31088742400 = 348639^2 + 176320^2 .

It is not a de Polignac number, because 152637894721 - 221 = 152635797569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152637894701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 208236871 + ... + 208237603.

Almost surely, 2152637894721 is an apocalyptic number.

152637894721 is the 390689-th square number.

152637894721 is the 195345-th centered octagonal number.

It is an amenable number.

152637894721 is a deficient number, since it is larger than the sum of its proper divisors (17005599386).

152637894721 is an frugal number, since it uses more digits than its factorization.

152637894721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 787 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 55.

The spelling of 152637894721 in words is "one hundred fifty-two billion, six hundred thirty-seven million, eight hundred ninety-four thousand, seven hundred twenty-one".

Divisors: 1 13 41 169 533 733 1681 6929 9529 21853 30053 123877 284089 390689 537289 1232173 5078957 6984757 16018249 22028849 90801841 208237237 286375037 903182809 3722875481 11741376517 152637894721