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12452545332 = 22329710613361
BaseRepresentation
bin10111001100011101…
…01100001100110100
31012010211122211211200
423212032230030310
5201000322422312
65415353132500
7620404613613
oct134616541464
935124584750
1012452545332
115310156687
1224b63ba130
131235b42c26
14861b7d87a
154cd3630dc
hex2e63ac334

12452545332 has 72 divisors (see below), whose sum is σ = 31841219592. Its totient is φ = 4102963200.

The previous prime is 12452545327. The next prime is 12452545351. The reversal of 12452545332 is 23354525421.

12452545332 is a `hidden beast` number, since 1 + 24 + 52 + 54 + 533 + 2 = 666.

12452545332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3726369936 + 8726175396 = 61044^2 + 93414^2 .

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 23 ways as a sum of consecutive naturals, for example, 3703332 + ... + 3706692.

It is an arithmetic number, because the mean of its divisors is an integer number (442239161).

Almost surely, 212452545332 is an apocalyptic number.

12452545332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12452545332 is an abundant number, since it is smaller than the sum of its proper divisors (19388674260).

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

12452545332 is a wasteful number, since it uses less digits than its factorization.

12452545332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4524 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 12452545332 in words is "twelve billion, four hundred fifty-two million, five hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1061 1164 1746 2122 3183 3361 3492 4244 6366 6722 9549 10083 12732 13444 19098 20166 30249 38196 40332 60498 102917 120996 205834 308751 326017 411668 617502 652034 926253 978051 1235004 1304068 1852506 1956102 2934153 3566021 3705012 3912204 5868306 7132042 10698063 11736612 14264084 21396126 32094189 42792252 64188378 128376756 345904037 691808074 1037712111 1383616148 2075424222 3113136333 4150848444 6226272666 12452545332