Search a number
-
+
12812564628 = 2232619574967
BaseRepresentation
bin10111110111011000…
…00011100010010100
31020001221002201110200
423323230003202110
5202220004032003
65515213420500
7632336000553
oct137354034224
936057081420
1012812564628
1154853a4496
122596a9a730
1312925c66b6
148978d7d9a
154eec7a6a3
hex2fbb03894

12812564628 has 36 divisors (see below), whose sum is σ = 32439694560. Its totient is φ = 4263947856.

The previous prime is 12812564599. The next prime is 12812564629. The reversal of 12812564628 is 82646521821.

12812564628 is a `hidden beast` number, since 1 + 2 + 8 + 12 + 5 + 6 + 4 + 628 = 666.

12812564628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12812564629) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 265200 + ... + 309767.

Almost surely, 212812564628 is an apocalyptic number.

12812564628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12812564628 is an abundant number, since it is smaller than the sum of its proper divisors (19627129932).

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

12812564628 is a wasteful number, since it uses less digits than its factorization.

12812564628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575596 (or 575591 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 12812564628 in words is "twelve billion, eight hundred twelve million, five hundred sixty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 619 1238 1857 2476 3714 5571 7428 11142 22284 574967 1149934 1724901 2299868 3449802 5174703 6899604 10349406 20698812 355904573 711809146 1067713719 1423618292 2135427438 3203141157 4270854876 6406282314 12812564628