Search a number
-
+
12515916288 = 29338920947
BaseRepresentation
bin10111010100000000…
…11011101000000000
31012022020220102110010
423222000123220000
5201113033310123
65425535304520
7622104350601
oct135200335000
935266812403
1012515916288
1153429aa177
12251367b140
131246000335
1486a357da8
154d3bce993
hex2ea01ba00

12515916288 has 80 divisors (see below), whose sum is σ = 33430494240. Its totient is φ = 4161048576.

The previous prime is 12515916241. The next prime is 12515916311. The reversal of 12515916288 is 88261951521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587031 + ... + 607977.

It is an arithmetic number, because the mean of its divisors is an integer number (417881178).

Almost surely, 212515916288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12515916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16715247120).

12515916288 is an abundant number, since it is smaller than the sum of its proper divisors (20914577952).

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

12515916288 is an equidigital number, since it uses as much as digits as its factorization.

12515916288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21357 (or 21341 counting only the distinct ones).

The product of its digits is 345600, while the sum is 48.

The spelling of 12515916288 in words is "twelve billion, five hundred fifteen million, nine hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 389 512 768 778 1167 1536 1556 2334 3112 4668 6224 9336 12448 18672 20947 24896 37344 41894 49792 62841 74688 83788 99584 125682 149376 167576 199168 251364 298752 335152 502728 597504 670304 1005456 1340608 2010912 2681216 4021824 5362432 8043648 8148383 10724864 16087296 16296766 24445149 32174592 32593532 48890298 65187064 97780596 130374128 195561192 260748256 391122384 521496512 782244768 1042993024 1564489536 2085986048 3128979072 4171972096 6257958144 12515916288