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12650869872 = 2433172516863
BaseRepresentation
bin10111100100000110…
…01111010001110000
31012122122211202222000
423302003033101300
5201402110313442
65451200014000
7625333422354
oct136203172160
935578752860
1012650869872
1154020a4863
122550901300
131267c61724
14880247464
154e098ad4c
hex2f20cf470

12650869872 has 160 divisors (see below), whose sum is σ = 38607528960. Its totient is φ = 3952512000.

The previous prime is 12650869871. The next prime is 12650869879. The reversal of 12650869872 is 27896805621.

12650869872 is a `hidden beast` number, since 1 + 2 + 6 + 508 + 69 + 8 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12650869871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1839913 + ... + 1846775.

It is an arithmetic number, because the mean of its divisors is an integer number (241297056).

Almost surely, 212650869872 is an apocalyptic number.

12650869872 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 12650869872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303764480).

12650869872 is an abundant number, since it is smaller than the sum of its proper divisors (25956659088).

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

12650869872 is a wasteful number, since it uses less digits than its factorization.

12650869872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7148 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12650869872 in words is "twelve billion, six hundred fifty million, eight hundred sixty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 251 272 306 408 432 459 502 612 753 816 918 1004 1224 1506 1836 2008 2259 2448 3012 3672 4016 4267 4518 6024 6777 6863 7344 8534 9036 12048 12801 13554 13726 17068 18072 20589 25602 27108 27452 34136 36144 38403 41178 51204 54216 54904 61767 68272 76806 82356 102408 108432 109808 115209 116671 123534 153612 164712 185301 204816 230418 233342 247068 307224 329424 350013 370602 460836 466684 494136 614448 700026 741204 921672 933368 988272 1050039 1400052 1482408 1722613 1843344 1866736 2100078 2800104 2964816 3150117 3445226 4200156 5167839 5600208 6300234 6890452 8400312 10335678 12600468 13780904 15503517 16800624 20671356 25200936 27561808 29284421 31007034 41342712 46510551 50401872 58568842 62014068 82685424 87853263 93021102 117137684 124028136 175706526 186042204 234275368 248056272 263559789 351413052 372084408 468550736 527119578 702826104 744168816 790679367 1054239156 1405652208 1581358734 2108478312 3162717468 4216956624 6325434936 12650869872