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42590957560 = 23510453101863
BaseRepresentation
bin100111101010100111…
…100110111111111000
311001221020101211002121
4213222213212333320
51144211241120220
631322132011024
73035305110634
oct475247467770
9131836354077
1042590957560
1117076537888
128307760a74
134029aaa748
1420c0737dc4
1511941cceaa
hex9ea9e6ff8

42590957560 has 32 divisors (see below), whose sum is σ = 95839763040. Its totient is φ = 17034585984.

The previous prime is 42590957551. The next prime is 42590957581. The reversal of 42590957560 is 6575909524.

It is a junction number, because it is equal to n+sod(n) for n = 42590957498 and 42590957507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 367189 + ... + 469051.

It is an arithmetic number, because the mean of its divisors is an integer number (2994992595).

Almost surely, 242590957560 is an apocalyptic number.

42590957560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42590957560 is an abundant number, since it is smaller than the sum of its proper divisors (53248805480).

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

42590957560 is a wasteful number, since it uses less digits than its factorization.

42590957560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112327 (or 112323 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 52.

The spelling of 42590957560 in words is "forty-two billion, five hundred ninety million, nine hundred fifty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 10453 20906 41812 52265 83624 101863 104530 203726 209060 407452 418120 509315 814904 1018630 2037260 4074520 1064773939 2129547878 4259095756 5323869695 8518191512 10647739390 21295478780 42590957560