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42332625225 = 325211171006123
BaseRepresentation
bin100111011011001110…
…001001100101001001
311001021020022011202100
4213123032021211021
51143144123001400
631240343024013
73026020243302
oct473316114511
9131236264670
1042332625225
1116a53732990
12825513b009
133cb840b587
1420982cd7a9
15117b6a0100
hex9db389949

42332625225 has 72 divisors (see below), whose sum is σ = 87581081952. Its totient is φ = 19317542400.

The previous prime is 42332625193. The next prime is 42332625253. The reversal of 42332625225 is 52252623324.

42332625225 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 2 + 625 + 2 + 25 = 666.

42332625225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42332625225 - 25 = 42332625193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42332625225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 460987 + ... + 545136.

It is an arithmetic number, because the mean of its divisors is an integer number (1216403916).

Almost surely, 242332625225 is an apocalyptic number.

42332625225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42332625225 is an abundant number, since it is smaller than the sum of its proper divisors (45248456727).

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

42332625225 is a wasteful number, since it uses less digits than its factorization.

42332625225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006167 (or 1006159 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The spelling of 42332625225 in words is "forty-two billion, three hundred thirty-two million, six hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 153 165 187 225 255 275 425 495 561 765 825 935 1275 1683 2475 2805 3825 4675 8415 14025 42075 1006123 3018369 5030615 9055107 11067353 15091845 17104091 25153075 33202059 45275535 51312273 55336765 75459225 85520455 99606177 153936819 166010295 188145001 226377675 256561365 276683825 427602275 498030885 564435003 769684095 830051475 940725005 1282806825 1693305009 2490154425 2822175015 3848420475 4703625025 8466525045 14110875075 42332625225