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42664435125 = 3531310638233
BaseRepresentation
bin100111101110111111…
…111001110110110101
311002010100122212100220
4213232333321312311
51144334043411000
631333314524553
73040156500144
oct475677716665
9132110585326
1042664435125
1117103a63644
128328296759
13403c0960b0
1420ca3c375b
15119a8941a0
hex9eeff9db5

42664435125 has 64 divisors (see below), whose sum is σ = 76535886336. Its totient is φ = 20981721600.

The previous prime is 42664435123. The next prime is 42664435129. The reversal of 42664435125 is 52153446624.

It is a happy number.

It is not a de Polignac number, because 42664435125 - 21 = 42664435123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42664435123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5178009 + ... + 5186241.

It is an arithmetic number, because the mean of its divisors is an integer number (1195873224).

Almost surely, 242664435125 is an apocalyptic number.

It is an amenable number.

42664435125 is a deficient number, since it is larger than the sum of its proper divisors (33871451211).

42664435125 is a wasteful number, since it uses less digits than its factorization.

42664435125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9317 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The spelling of 42664435125 in words is "forty-two billion, six hundred sixty-four million, four hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 195 325 375 975 1063 1625 3189 4875 5315 8233 13819 15945 24699 26575 41165 41457 69095 79725 107029 123495 132875 205825 207285 321087 345475 398625 535145 617475 1029125 1036425 1605435 1727375 2675725 3087375 5182125 8027175 8751679 13378625 26255037 40135875 43758395 113771827 131275185 218791975 341315481 568859135 656375925 1093959875 1706577405 2844295675 3281879625 8532887025 14221478375 42664435125