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4332292641 = 331249128467
BaseRepresentation
bin1000000100011100…
…11000101000100001
3102011220222021021000
410002032120220201
532333031331031
61553520022213
7212233610535
oct40216305041
912156867230
104332292641
111923514646
12a0aa61969
13540717b91
142d1531bc5
151a55123e6
hex102398a21

4332292641 has 16 divisors (see below), whose sum is σ = 6423400000. Its totient is φ = 2885860224.

The previous prime is 4332292639. The next prime is 4332292669. The reversal of 4332292641 is 1462922334.

4332292641 is a `hidden beast` number, since 4 + 3 + 3 + 2 + 2 + 9 + 2 + 641 = 666.

It is not a de Polignac number, because 4332292641 - 21 = 4332292639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4332292596 and 4332292605.

It is not an unprimeable number, because it can be changed into a prime (4332292621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30511 + ... + 97956.

It is an arithmetic number, because the mean of its divisors is an integer number (401462500).

Almost surely, 24332292641 is an apocalyptic number.

It is an amenable number.

4332292641 is a deficient number, since it is larger than the sum of its proper divisors (2091107359).

4332292641 is a wasteful number, since it uses less digits than its factorization.

4332292641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129725 (or 129719 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4332292641 is about 65820.1537600756. The cubic root of 4332292641 is about 1630.1938922751.

The spelling of 4332292641 in words is "four billion, three hundred thirty-two million, two hundred ninety-two thousand, six hundred forty-one".

Divisors: 1 3 9 27 1249 3747 11241 33723 128467 385401 1156203 3468609 160455283 481365849 1444097547 4332292641