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13109563008 = 273217896361
BaseRepresentation
bin11000011010110010…
…00000111010000000
31020211121221210122200
430031121000322000
5203322022004013
610004503233200
7642603306213
oct141531007200
936747853580
1013109563008
1156180087a3
12265a448800
13130bcb3199
148c512977a
1551ad94e73
hex30d640e80

13109563008 has 96 divisors (see below), whose sum is σ = 37751153700. Its totient is φ = 4366725120.

The previous prime is 13109563003. The next prime is 13109563063. The reversal of 13109563008 is 80036590131.

It is a happy number.

13109563008 is a `hidden beast` number, since 1 + 3 + 10 + 9 + 5 + 630 + 0 + 8 = 666.

It is a Cunningham number, because it is equal to 1144972-1.

It can be written as a sum of positive squares in 2 ways, for example, as 12848675904 + 260887104 = 113352^2 + 16152^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13109563001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2057748 + ... + 2064108.

Almost surely, 213109563008 is an apocalyptic number.

13109563008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13109563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875576850).

13109563008 is an abundant number, since it is smaller than the sum of its proper divisors (24641590692).

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

13109563008 is a wasteful number, since it uses less digits than its factorization.

13109563008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8155 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13109563008 in words is "thirteen billion, one hundred nine million, five hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1789 3578 5367 6361 7156 10734 12722 14312 16101 19083 21468 25444 28624 32202 38166 42936 50888 57248 57249 64404 76332 85872 101776 114496 114498 128808 152664 171744 203552 228992 228996 257616 305328 343488 407104 457992 515232 610656 686976 814208 915984 1030464 1221312 1831968 2060928 2442624 3663936 7327872 11379829 22759658 34139487 45519316 68278974 91038632 102418461 136557948 182077264 204836922 273115896 364154528 409673844 546231792 728309056 819347688 1092463584 1456618112 1638695376 2184927168 3277390752 4369854336 6554781504 13109563008