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12642574984 = 231335931213
BaseRepresentation
bin10111100011000111…
…00110001010001000
31012122002020100111221
423301203212022020
5201342444344414
65450302131424
7625203054124
oct136143461210
935562210457
1012642574984
1153a8449786
122549b80b74
131266319000
1487d0c8584
154ded9d224
hex2f18e6288

12642574984 has 64 divisors (see below), whose sum is σ = 25743841200. Its totient is φ = 5820392448.

The previous prime is 12642574951. The next prime is 12642574991. The reversal of 12642574984 is 48947524621.

It can be written as a sum of positive squares in 8 ways, for example, as 2161320100 + 10481254884 = 46490^2 + 102378^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10421962 + ... + 10423174.

Almost surely, 212642574984 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 12642574984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871920600).

12642574984 is an abundant number, since it is smaller than the sum of its proper divisors (13101266216).

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

12642574984 is a wasteful number, since it uses less digits than its factorization.

12642574984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1821 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 52.

The spelling of 12642574984 in words is "twelve billion, six hundred forty-two million, five hundred seventy-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 593 676 1186 1213 1352 2197 2372 2426 4394 4744 4852 7709 8788 9704 15418 15769 17576 30836 31538 61672 63076 100217 126152 200434 204997 400868 409994 719309 801736 819988 1302821 1438618 1639976 2605642 2664961 2877236 5211284 5329922 5754472 9351017 10422568 10659844 18702034 21319688 37404068 74808136 121563221 243126442 486252884 972505768 1580321873 3160643746 6321287492 12642574984