Search a number
-
+
151026552036 = 22327993524857
BaseRepresentation
bin1000110010100111100…
…0100100110011100100
3112102211022002202112100
42030221320210303210
54433300244131121
6153214115052100
713624402340223
oct2145170446344
9472738082470
10151026552036
1159060607968
122532a5a1030
131131b1550b9
147449c50cba
153dddca8026
hex2329e24ce4

151026552036 has 36 divisors (see below), whose sum is σ = 381810051532. Its totient is φ = 50335789824.

The previous prime is 151026552007. The next prime is 151026552049. The reversal of 151026552036 is 630255620151.

151026552036 is a `hidden beast` number, since 1 + 51 + 0 + 26 + 552 + 0 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62375062500 + 88651489536 = 249750^2 + 297744^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25320 + ... + 550176.

Almost surely, 2151026552036 is an apocalyptic number.

It is an amenable number.

151026552036 is an abundant number, since it is smaller than the sum of its proper divisors (230783499496).

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

151026552036 is a wasteful number, since it uses less digits than its factorization.

151026552036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532860 (or 532855 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 151026552036 in words is "one hundred fifty-one billion, twenty-six million, five hundred fifty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 7993 15986 23979 31972 47958 71937 95916 143874 287748 524857 1049714 1574571 2099428 3149142 4723713 6298284 9447426 18894852 4195182001 8390364002 12585546003 16780728004 25171092006 37756638009 50342184012 75513276018 151026552036