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12504886992 = 24321353126037
BaseRepresentation
bin10111010010101100…
…10110111011010000
31012021111011002002200
423221112112323100
5201102222340432
65424503043200
7621611533323
oct135126267320
935244132080
1012504886992
115337756754
12250ba40500
13124393b120
14868ac67ba
154d2c51a7c
hex2e9596ed0

12504886992 has 120 divisors (see below), whose sum is σ = 38399745384. Its totient is φ = 3775030272.

The previous prime is 12504886991. The next prime is 12504887033. The reversal of 12504886992 is 29968840521.

It is a happy number.

12504886992 is a `hidden beast` number, since 12 + 5 + 0 + 488 + 69 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 149230656 + 12355656336 = 12216^2 + 111156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12504886991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36198 + ... + 162234.

Almost surely, 212504886992 is an apocalyptic number.

12504886992 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 12504886992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19199872692).

12504886992 is an abundant number, since it is smaller than the sum of its proper divisors (25894858392).

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

12504886992 is a wasteful number, since it uses less digits than its factorization.

12504886992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126117 (or 126108 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12504886992 in words is "twelve billion, five hundred four million, eight hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 53 72 78 104 106 117 144 156 159 208 212 234 312 318 424 468 477 624 636 689 848 936 954 1272 1378 1872 1908 2067 2544 2756 3816 4134 5512 6201 7632 8268 11024 12402 16536 24804 33072 49608 99216 126037 252074 378111 504148 756222 1008296 1134333 1512444 1638481 2016592 2268666 3024888 3276962 4537332 4915443 6049776 6553924 6679961 9074664 9830886 13107848 13359922 14746329 18149328 19661772 20039883 26215696 26719844 29492658 39323544 40079766 53439688 58985316 60119649 78647088 80159532 86839493 106879376 117970632 120239298 160319064 173678986 235941264 240478596 260518479 320638128 347357972 480957192 521036958 694715944 781555437 961914384 1042073916 1389431888 1563110874 2084147832 3126221748 4168295664 6252443496 12504886992