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34426452132 = 22322398139877
BaseRepresentation
bin100000000011111110…
…011111100010100100
310021212020102222011200
4200003332133202210
51031001132432012
623452034202500
72326056005052
oct400376374244
9107766388150
1034426452132
1113666920036
126809423430
13332845a247
14194828b1d2
15d6753a3dc
hex803f9f8a4

34426452132 has 36 divisors (see below), whose sum is σ = 87028231836. Its totient is φ = 11474717760.

The previous prime is 34426452059. The next prime is 34426452139. The reversal of 34426452132 is 23125462443.

34426452132 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 645 + 2 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1366485156 + 33059966976 = 36966^2 + 181824^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (34426452139) 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, 843378 + ... + 883254.

Almost surely, 234426452132 is an apocalyptic number.

It is an amenable number.

34426452132 is an abundant number, since it is smaller than the sum of its proper divisors (52601779704).

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

34426452132 is a wasteful number, since it uses less digits than its factorization.

34426452132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63868 (or 63863 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 34426452132 in words is "thirty-four billion, four hundred twenty-six million, four hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 23981 39877 47962 71943 79754 95924 119631 143886 159508 215829 239262 287772 358893 431658 478524 717786 863316 1435572 956290337 1912580674 2868871011 3825161348 5737742022 8606613033 11475484044 17213226066 34426452132