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12555641104 = 241946189591
BaseRepresentation
bin10111011000101111…
…11110000100010000
31012102000122122122121
423230113332010100
5201203221003404
65433514544024
7623066121436
oct135427760420
935360578577
1012555641104
115363371aa6
122524a38014
1312512cb846
14871738d56
154d7429e54
hex2ec5fe110

12555641104 has 40 divisors (see below), whose sum is σ = 25662732480. Its totient is φ = 5934441600.

The previous prime is 12555641093. The next prime is 12555641113. The reversal of 12555641104 is 40114655521.

12555641104 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 12555641104.

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 7 ways as a sum of consecutive naturals, for example, 95349 + ... + 184939.

It is an arithmetic number, because the mean of its divisors is an integer number (641568312).

Almost surely, 212555641104 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 12555641104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831366240).

12555641104 is an abundant number, since it is smaller than the sum of its proper divisors (13107091376).

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

12555641104 is a wasteful number, since it uses less digits than its factorization.

12555641104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90079 (or 90073 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 12555641104 in words is "twelve billion, five hundred fifty-five million, six hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 304 461 922 1844 3688 7376 8759 17518 35036 70072 89591 140144 179182 358364 716728 1433456 1702229 3404458 6808916 13617832 27235664 41301451 82602902 165205804 330411608 660823216 784727569 1569455138 3138910276 6277820552 12555641104