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12557941488 = 2433233734159
BaseRepresentation
bin10111011001000001…
…01111101011110000
31012102011222112012000
423230200233223300
5201204313111423
65434040134000
7623124512211
oct135440575360
935364875160
1012557941488
1153646a3344
122525767300
131251925911
14871b77408
154d7731843
hex2ec82faf0

12557941488 has 160 divisors (see below), whose sum is σ = 38630860800. Its totient is φ = 3895651584.

The previous prime is 12557941477. The next prime is 12557941541. The reversal of 12557941488 is 88414975521.

12557941488 is a `hidden beast` number, since 1 + 2 + 55 + 79 + 41 + 488 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350553 + ... + 384711.

It is an arithmetic number, because the mean of its divisors is an integer number (241442880).

Almost surely, 212557941488 is an apocalyptic number.

12557941488 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 12557941488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19315430400).

12557941488 is an abundant number, since it is smaller than the sum of its proper divisors (26072919312).

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

12557941488 is a wasteful number, since it uses less digits than its factorization.

12557941488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34236 (or 34224 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 12557941488 in words is "twelve billion, five hundred fifty-seven million, nine hundred forty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 37 46 48 54 69 72 74 92 108 111 138 144 148 184 207 216 222 276 296 333 368 414 432 444 552 592 621 666 828 851 888 999 1104 1242 1332 1656 1702 1776 1998 2484 2553 2664 3312 3404 3996 4968 5106 5328 6808 7659 7992 9936 10212 13616 15318 15984 20424 22977 30636 34159 40848 45954 61272 68318 91908 102477 122544 136636 183816 204954 273272 307431 367632 409908 546544 614862 785657 819816 922293 1229724 1263883 1571314 1639632 1844586 2356971 2459448 2527766 3142628 3689172 3791649 4713942 4918896 5055532 6285256 7070913 7378344 7583298 9427884 10111064 11374947 12570512 14141826 14756688 15166596 18855768 20222128 21212739 22749894 28283652 29069309 30333192 34124841 37711536 42425478 45499788 56567304 58138618 60666384 68249682 84850956 87207927 90999576 113134608 116277236 136499364 169701912 174415854 181999152 232554472 261623781 272998728 339403824 348831708 465108944 523247562 545997456 697663416 784871343 1046495124 1395326832 1569742686 2092990248 3139485372 4185980496 6278970744 12557941488