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130914079560 = 233251133059111
BaseRepresentation
bin111100111101100010…
…1100101001101001000
3110111220121221022001100
41321323011211031020
54121103001021220
6140050251021400
712313113213225
oct1717305451510
9414817838040
10130914079560
115057a648690
1221456a3a860
13c46438a904
14649ca4c94c
153613221d90
hex1e7b165348

130914079560 has 96 divisors (see below), whose sum is σ = 464149932480. Its totient is φ = 31736745600.

The previous prime is 130914079559. The next prime is 130914079607. The reversal of 130914079560 is 65970419031.

130914079560 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 14 + 0 + 79 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 16525596 + ... + 16533515.

It is an arithmetic number, because the mean of its divisors is an integer number (4834895130).

Almost surely, 2130914079560 is an apocalyptic number.

130914079560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130914079560 is an abundant number, since it is smaller than the sum of its proper divisors (333235852920).

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

130914079560 is a wasteful number, since it uses less digits than its factorization.

130914079560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33059139 (or 33059132 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 130914079560 in words is "one hundred thirty billion, nine hundred fourteen million, seventy-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 33059111 66118222 99177333 132236444 165295555 198354666 264472888 297531999 330591110 363650221 396709332 495886665 595063998 661182220 727300442 793418664 991773330 1090950663 1190127996 1322364440 1454600884 1487659995 1818251105 1983546660 2181901326 2380255992 2909201768 2975319990 3272851989 3636502210 3967093320 4363802652 5454753315 5950639980 6545703978 7273004420 8727605304 10909506630 11901279960 13091407956 14546008840 16364259945 21819013260 26182815912 32728519890 43638026520 65457039780 130914079560