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12556135332 = 223213171983063
BaseRepresentation
bin10111011000110011…
…10110101110100100
31012102001120202121100
423230121312232210
5201203332312312
65433533320100
7623103250356
oct135431665644
935361522540
1012556135332
11536367a354
122525036030
1312514427a0
148718270d6
154d74c65dc
hex2ec676ba4

12556135332 has 144 divisors (see below), whose sum is σ = 38096472960. Its totient is φ = 3444747264.

The previous prime is 12556135301. The next prime is 12556135343. The reversal of 12556135332 is 23353165521.

12556135332 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 613 + 5 + 3 + 32 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 109633 + ... + 192695.

It is an arithmetic number, because the mean of its divisors is an integer number (264558840).

Almost surely, 212556135332 is an apocalyptic number.

12556135332 is a gapful number since it is divisible by the number (12) 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 12556135332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048236480).

12556135332 is an abundant number, since it is smaller than the sum of its proper divisors (25540337628).

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

12556135332 is a wasteful number, since it uses less digits than its factorization.

12556135332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83122 (or 83117 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The spelling of 12556135332 in words is "twelve billion, five hundred fifty-six million, one hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 19 26 34 36 38 39 51 52 57 68 76 78 102 114 117 153 156 171 204 221 228 234 247 306 323 342 442 468 494 612 646 663 684 741 884 969 988 1292 1326 1482 1938 1989 2223 2652 2907 2964 3876 3978 4199 4446 5814 7956 8398 8892 11628 12597 16796 25194 37791 50388 75582 83063 151164 166126 249189 332252 498378 747567 996756 1079819 1412071 1495134 1578197 2159638 2824142 2990268 3156394 3239457 4236213 4319276 4734591 5648284 6312788 6478914 8472426 9469182 9718371 12708639 12957828 14203773 16944852 18356923 18938364 19436742 20516561 25417278 26829349 28407546 36713846 38873484 41033122 50834556 53658698 55070769 56815092 61549683 73427692 80488047 82066244 107317396 110141538 123099366 160976094 165212307 184649049 220283076 241464141 246198732 321952188 330424614 348781537 369298098 482928282 660849228 697563074 738596196 965856564 1046344611 1395126148 2092689222 3139033833 4185378444 6278067666 12556135332