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12604452564 = 223113111327259
BaseRepresentation
bin10111011110100100…
…01010111011010100
31012112102111112101110
423233102022323110
5201303214440224
65442421055020
7624231036054
oct135722127324
935472445343
1012604452564
115388980850
122539257470
13125b45bc72
14878003564
154db86c929
hex2ef48aed4

12604452564 has 96 divisors (see below), whose sum is σ = 33413345280. Its totient is φ = 3663475200.

The previous prime is 12604452559. The next prime is 12604452577. The reversal of 12604452564 is 46525440621.

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 31 ways as a sum of consecutive naturals, for example, 448767 + ... + 476025.

It is an arithmetic number, because the mean of its divisors is an integer number (348055680).

Almost surely, 212604452564 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 12604452564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706672640).

12604452564 is an abundant number, since it is smaller than the sum of its proper divisors (20808892716).

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

12604452564 is a wasteful number, since it uses less digits than its factorization.

12604452564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27421 (or 27419 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 12604452564 in words is "twelve billion, six hundred four million, four hundred fifty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 113 124 132 186 226 339 341 372 452 678 682 1023 1243 1356 1364 2046 2486 3503 3729 4092 4972 7006 7458 10509 14012 14916 21018 27259 38533 42036 54518 77066 81777 109036 115599 154132 163554 231198 299849 327108 462396 599698 845029 899547 1199396 1690058 1799094 2535087 3080267 3380116 3598188 5070174 6160534 9240801 9295319 10140348 12321068 18481602 18590638 27885957 33882937 36963204 37181276 55771914 67765874 95488277 101648811 111543828 135531748 190976554 203297622 286464831 381953108 406595244 572929662 1050371047 1145859324 2100742094 3151113141 4201484188 6302226282 12604452564