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12513029568 = 263139115503
BaseRepresentation
bin10111010011101010…
…11010110111000000
31012022001110202121120
423221311122313000
5201111313421233
65425353352240
7622040665524
oct135165326700
935261422546
1012513029568
115341308356
122512708680
13124552c410
14869c05d84
154d380e4b3
hex2e9d5adc0

12513029568 has 112 divisors (see below), whose sum is σ = 35699736576. Its totient is φ = 3845237760.

The previous prime is 12513029531. The next prime is 12513029579. The reversal of 12513029568 is 86592031521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2271105 + ... + 2276607.

It is an arithmetic number, because the mean of its divisors is an integer number (318747648).

Almost surely, 212513029568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12513029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849868288).

12513029568 is an abundant number, since it is smaller than the sum of its proper divisors (23186707008).

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

12513029568 is a wasteful number, since it uses less digits than its factorization.

12513029568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442 (or 6432 counting only the distinct ones).

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

The spelling of 12513029568 in words is "twelve billion, five hundred thirteen million, twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 911 1248 1822 2496 2733 3644 5466 5503 7288 10932 11006 11843 14576 16509 21864 22012 23686 29152 33018 35529 43728 44024 47372 58304 66036 71058 71539 87456 88048 94744 132072 142116 143078 174912 176096 189488 214617 264144 284232 286156 352192 378976 429234 528288 568464 572312 757952 858468 1056576 1136928 1144624 1716936 2273856 2289248 3433872 4578496 5013233 6867744 10026466 13735488 15039699 20052932 30079398 40105864 60158796 65172029 80211728 120317592 130344058 160423456 195516087 240635184 260688116 320846912 391032174 481270368 521376232 782064348 962540736 1042752464 1564128696 2085504928 3128257392 4171009856 6256514784 12513029568