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643431096 = 2332711176827
BaseRepresentation
bin100110010110011…
…111101010111000
31122211201200112100
4212112133222320
52304204243341
6143502543400
721642034260
oct4626375270
91584650470
10643431096
11300222340
1215b597b60
13a33c4079
14616507a0
153b74b3b6
hex2659fab8

643431096 has 192 divisors, whose sum is σ = 2300762880. Its totient is φ = 157271040.

The previous prime is 643431037. The next prime is 643431109. The reversal of 643431096 is 690134346.

643431096 is a `hidden beast` number, since 643 + 4 + 3 + 1 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×6434310962 = 828007150599522432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 643431096.

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 47 ways as a sum of consecutive naturals, for example, 90835 + ... + 97661.

It is an arithmetic number, because the mean of its divisors is an integer number (11983140).

Almost surely, 2643431096 is an apocalyptic number.

643431096 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643431096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150381440).

643431096 is an abundant number, since it is smaller than the sum of its proper divisors (1657331784).

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

643431096 is a wasteful number, since it uses less digits than its factorization.

643431096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6874 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 643431096 is about 25365.9436252626. The cubic root of 643431096 is about 863.3111471799.

The spelling of 643431096 in words is "six hundred forty-three million, four hundred thirty-one thousand, ninety-six".