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14626000890 = 23251011609021
BaseRepresentation
bin11011001111100011…
…10000111111111010
31101202022101211100200
431213301300333322
5214423224012030
610415153543030
71025305646004
oct154761607772
941668354320
1014626000890
116225aa5a46
122a02274a76
1314c120c3c7
149ca6ab374
155a9089d60
hex367c70ffa

14626000890 has 48 divisors (see below), whose sum is σ = 38404137096. Its totient is φ = 3861648000.

The previous prime is 14626000871. The next prime is 14626000891. The reversal of 14626000890 is 9800062641.

14626000890 is a `hidden beast` number, since 1 + 46 + 2 + 600 + 0 + 8 + 9 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13672858761 + 953142129 = 116931^2 + 30873^2 .

It is not an unprimeable number, because it can be changed into a prime (14626000891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795421 + ... + 813600.

Almost surely, 214626000890 is an apocalyptic number.

14626000890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14626000890 is an abundant number, since it is smaller than the sum of its proper divisors (23778136206).

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

14626000890 is a wasteful number, since it uses less digits than its factorization.

14626000890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609135 (or 1609132 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14626000890 in words is "fourteen billion, six hundred twenty-six million, eight hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 1609021 3218042 4827063 8045105 9654126 14481189 16090210 24135315 28962378 48270630 72405945 144811890 162511121 325022242 487533363 812555605 975066726 1462600089 1625111210 2437666815 2925200178 4875333630 7313000445 14626000890