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10490432590 = 25112172112417
BaseRepresentation
bin10011100010100011…
…10100110001001110
31000002002121012011101
421301101310301032
5132441022320330
64452542213314
7520651130401
oct116121646116
930062535141
1010490432590
1144a3637300
12204928423a
13cb24a2881
14717347d38
15415e864ca
hex271474c4e

10490432590 has 96 divisors (see below), whose sum is σ = 22089648672. Its totient is φ = 3571814400.

The previous prime is 10490432531. The next prime is 10490432597. The reversal of 10490432590 is 9523409401.

It is a super-2 number, since 2×104904325902 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490432597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4339062 + ... + 4341478.

It is an arithmetic number, because the mean of its divisors is an integer number (230100507).

Almost surely, 210490432590 is an apocalyptic number.

10490432590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10490432590 is an abundant number, since it is smaller than the sum of its proper divisors (11599216082).

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

10490432590 is a wasteful number, since it uses less digits than its factorization.

10490432590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 10490432590 in words is "ten billion, four hundred ninety million, four hundred thirty-two thousand, five hundred ninety".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 211 242 374 422 605 935 1055 1210 1870 2057 2110 2321 2417 3587 4114 4642 4834 7174 10285 11605 12085 17935 20570 23210 24170 25531 26587 35870 39457 41089 51062 53174 78914 82178 127655 132935 197285 205445 255310 265870 292457 394570 410890 434027 451979 509987 584914 868054 903958 1019974 1462285 2170135 2259895 2549935 2924570 4340270 4519790 4971769 5099870 5609857 8669779 9943538 11219714 17339558 24858845 28049285 43348895 49717690 56098570 61708427 86697790 95367569 123416854 190735138 308542135 476837845 617084270 953675690 1049043259 2098086518 5245216295 10490432590