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42901768624 = 24111323815251
BaseRepresentation
bin100111111101001001…
…010000100110110000
311002201220020122201111
4213331021100212300
51200330323043444
631413033443104
73046101005431
oct477511204660
9132656218644
1042901768624
1117215a25830
128393870494
1340792c2310
14210db23488
1511b1625234
hex9fd2509b0

42901768624 has 80 divisors (see below), whose sum is σ = 101899977984. Its totient is φ = 17218080000.

The previous prime is 42901768621. The next prime is 42901768643. The reversal of 42901768624 is 42686710924.

It is not an unprimeable number, because it can be changed into a prime (42901768621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 355002 + ... + 460249.

Almost surely, 242901768624 is an apocalyptic number.

42901768624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42901768624 is an abundant number, since it is smaller than the sum of its proper divisors (58998209360).

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

42901768624 is a wasteful number, since it uses less digits than its factorization.

42901768624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815306 (or 815300 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 42901768624 in words is "forty-two billion, nine hundred one million, seven hundred sixty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 143 176 184 208 253 286 299 368 506 572 598 1012 1144 1196 2024 2288 2392 3289 4048 4784 6578 13156 26312 52624 815251 1630502 3261004 6522008 8967761 10598263 13044016 17935522 18750773 21196526 35871044 37501546 42393052 71742088 75003092 84786104 116580893 143484176 150006184 169572208 206258503 233161786 243760049 300012368 412517006 466323572 487520098 825034012 932647144 975040196 1650068024 1865294288 1950080392 2681360539 3300136048 3900160784 5362721078 10725442156 21450884312 42901768624