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12820432572 = 2233731626133
BaseRepresentation
bin10111111000010100…
…00100011010111100
31020002110220110021000
423330022010122330
5202224012320242
65520054210300
7632462610303
oct137412043274
936073813230
1012820432572
115489888822
122599653990
13129411c99c
1489898543a
155007d1a4c
hex2fc2846bc

12820432572 has 48 divisors (see below), whose sum is σ = 33693496480. Its totient is φ = 4214934144.

The previous prime is 12820432543. The next prime is 12820432619. The reversal of 12820432572 is 27523402821.

12820432572 is a `hidden beast` number, since 1 + 2 + 82 + 0 + 4 + 3 + 2 + 572 = 666.

12820432572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 805183 + ... + 820950.

Almost surely, 212820432572 is an apocalyptic number.

12820432572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12820432572 is an abundant number, since it is smaller than the sum of its proper divisors (20873063908).

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

12820432572 is a wasteful number, since it uses less digits than its factorization.

12820432572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626219 (or 1626211 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 12820432572 in words is "twelve billion, eight hundred twenty million, four hundred thirty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 1626133 3252266 4878399 6504532 9756798 14635197 19513596 29270394 43905591 58540788 87811182 118707709 175622364 237415418 356123127 474830836 712246254 1068369381 1424492508 2136738762 3205108143 4273477524 6410216286 12820432572