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12143947936 = 2531199227271
BaseRepresentation
bin10110100111101010…
…11111000010100000
31011100022222110210111
423103311133002200
5144332322313221
65325010541104
7606636566011
oct132365370240
934308873714
1012143947936
115171a3a90a
12242ab97794
1311b6c24b13
14832bad008
154b1206be1
hex2d3d5f0a0

12143947936 has 96 divisors (see below), whose sum is σ = 25004851200. Its totient is φ = 5799340800.

The previous prime is 12143947903. The next prime is 12143947961. The reversal of 12143947936 is 63974934121.

12143947936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12143947936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44811481 + ... + 44811751.

It is an arithmetic number, because the mean of its divisors is an integer number (260467200).

Almost surely, 212143947936 is an apocalyptic number.

12143947936 is a gapful number since it is divisible by the number (16) 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 12143947936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12502425600).

12143947936 is an abundant number, since it is smaller than the sum of its proper divisors (12860903264).

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

12143947936 is a wasteful number, since it uses less digits than its factorization.

12143947936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

The spelling of 12143947936 in words is "twelve billion, one hundred forty-three million, nine hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 124 199 227 248 271 398 454 496 542 796 908 992 1084 1592 1816 2168 3184 3632 4336 6169 6368 7037 7264 8401 8672 12338 14074 16802 24676 28148 33604 45173 49352 53929 56296 61517 67208 90346 98704 107858 112592 123034 134416 180692 197408 215716 225184 246068 268832 361384 431432 492136 722768 862864 984272 1400363 1445536 1671799 1725728 1907027 1968544 2800726 3343598 3814054 5601452 6687196 7628108 11202904 12241883 13374392 15256216 22405808 24483766 26748784 30512432 44811616 48967532 53497568 61024864 97935064 195870128 379498373 391740256 758996746 1517993492 3035986984 6071973968 12143947936