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12610662272 = 271323536217
BaseRepresentation
bin10111011111010011…
…10110111110000000
31012112212012000111122
423233221312332000
5201311312143042
65443202131412
7624334601135
oct135751667600
935485160448
1012610662272
11539143223a
12253b350b68
13125c824550
14878b7c58c
154dc1977d2
hex2efa76f80

12610662272 has 128 divisors (see below), whose sum is σ = 28768944960. Its totient is φ = 5461327872.

The previous prime is 12610662269. The next prime is 12610662277. The reversal of 12610662272 is 27226601621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12610662277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025308 + ... + 2031524.

Almost surely, 212610662272 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 12610662272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384472480).

12610662272 is an abundant number, since it is smaller than the sum of its proper divisors (16158282688).

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

12610662272 is a wasteful number, since it uses less digits than its factorization.

12610662272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 12610662272 in words is "twelve billion, six hundred ten million, six hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 53 64 92 104 106 128 184 208 212 299 368 416 424 598 689 736 832 848 1196 1219 1378 1472 1664 1696 2392 2438 2756 2944 3392 4784 4876 5512 6217 6784 9568 9752 11024 12434 15847 19136 19504 22048 24868 31694 38272 39008 44096 49736 63388 78016 80821 88192 99472 126776 142991 156032 161642 198944 253552 285982 323284 329501 397888 507104 571964 646568 659002 795776 1014208 1143928 1293136 1318004 1858883 2028416 2287856 2586272 2636008 3717766 4283513 4575712 5172544 5272016 7435532 7578523 8567026 9151424 10345088 10544032 14871064 15157046 17134052 18302848 21088064 29742128 30314092 34268104 42176128 59484256 60628184 68536208 98520799 118968512 121256368 137072416 197041598 237937024 242512736 274144832 394083196 485025472 548289664 788166392 970050944 1576332784 3152665568 6305331136 12610662272