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152561400564 = 223431312256959
BaseRepresentation
bin1000111000010101011…
…1100011101011110100
3112120210021012010220010
42032011113203223310
54444421204304224
6154030304140220
714010420336246
oct2160527435364
9476707163803
10152561400564
1159778a2a321
1225698607670
13115041291b1
147553a26096
153e7d8d7e29
hex23855e3af4

152561400564 has 48 divisors (see below), whose sum is σ = 367035863040. Its totient is φ = 49291962720.

The previous prime is 152561400517. The next prime is 152561400569. The reversal of 152561400564 is 465004165251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152561400569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060884 + ... + 1196075.

It is an arithmetic number, because the mean of its divisors is an integer number (7646580480).

Almost surely, 2152561400564 is an apocalyptic number.

It is an amenable number.

152561400564 is an abundant number, since it is smaller than the sum of its proper divisors (214474462476).

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

152561400564 is a wasteful number, since it uses less digits than its factorization.

152561400564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257140 (or 2257138 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 152561400564 in words is "one hundred fifty-two billion, five hundred sixty-one million, four hundred thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 43 86 129 131 172 258 262 393 516 524 786 1572 5633 11266 16899 22532 33798 67596 2256959 4513918 6770877 9027836 13541754 27083508 97049237 194098474 291147711 295661629 388196948 582295422 591323258 886984887 1164590844 1182646516 1773969774 3547939548 12713450047 25426900094 38140350141 50853800188 76280700282 152561400564