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42053332392 = 233211310934729
BaseRepresentation
bin100111001010100100…
…101110110110101000
311000112202202122000100
4213022210232312220
51142111123114032
631152524505400
73016056266421
oct471244566650
9130482678010
1042053332392
1116920012065
1281976ab260
133c725b0a46
14206d18a648
151161dd197c
hex9ca92eda8

42053332392 has 96 divisors (see below), whose sum is σ = 115031802600. Its totient is φ = 13878079488.

The previous prime is 42053332381. The next prime is 42053332403. The reversal of 42053332392 is 29323335024.

42053332392 is a `hidden beast` number, since 4 + 2 + 0 + 533 + 32 + 3 + 92 = 666.

42053332392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42053332381) and next prime (42053332403).

It can be written as a sum of positive squares in 4 ways, for example, as 24296703876 + 17756628516 = 155874^2 + 133254^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8890284 + ... + 8895012.

Almost surely, 242053332392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42053332392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57515901300).

42053332392 is an abundant number, since it is smaller than the sum of its proper divisors (72978470208).

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

42053332392 is a wasteful number, since it uses less digits than its factorization.

42053332392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 42053332392 in words is "forty-two billion, fifty-three million, three hundred thirty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1093 1356 2034 2186 2712 3279 4068 4372 4729 6558 8136 8744 9458 9837 13116 14187 18916 19674 26232 28374 37832 39348 42561 56748 78696 85122 113496 123509 170244 247018 340488 370527 494036 534377 741054 988072 1068754 1111581 1482108 1603131 2137508 2223162 2964216 3206262 4275016 4446324 4809393 5168797 6412524 8892648 9618786 10337594 12825048 15506391 19237572 20675188 31012782 38475144 41350376 46519173 62025564 93038346 124051128 186076692 372153384 584074061 1168148122 1752222183 2336296244 3504444366 4672592488 5256666549 7008888732 10513333098 14017777464 21026666196 42053332392