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10089625560 = 2335712011459
BaseRepresentation
bin10010110010110001…
…10111011111011000
3222001011102002021120
421121120313133120
5131130421004220
64345103405240
7505013254650
oct113130673730
928034362246
1010089625560
114308370023
121b56bb3820
13c4a43ab51
146ba013360
153e0bb3a40
hex2596377d8

10089625560 has 64 divisors (see below), whose sum is σ = 34593004800. Its totient is φ = 2306199936.

The previous prime is 10089625519. The next prime is 10089625573. The reversal of 10089625560 is 6552698001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6004890 + ... + 6006569.

It is an arithmetic number, because the mean of its divisors is an integer number (540515700).

Almost surely, 210089625560 is an apocalyptic number.

10089625560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10089625560 is an abundant number, since it is smaller than the sum of its proper divisors (24503379240).

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

10089625560 is a wasteful number, since it uses less digits than its factorization.

10089625560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12011480 (or 12011476 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 10089625560 in words is "ten billion, eighty-nine million, six hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 12011459 24022918 36034377 48045836 60057295 72068754 84080213 96091672 120114590 144137508 168160426 180171885 240229180 252240639 288275016 336320852 360343770 420401065 480458360 504481278 672641704 720687540 840802130 1008962556 1261203195 1441375080 1681604260 2017925112 2522406390 3363208520 5044812780 10089625560