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3133972431 = 33257945007
BaseRepresentation
bin1011101011001100…
…1001111111001111
322002102010021222000
42322303021333033
522404244104211
61234551523343
7140443216602
oct27263117717
98072107860
103133972431
111369055967
12735689553
133ac391175
1421a31c339
15135209656
hexbacc9fcf

3133972431 has 16 divisors (see below), whose sum is σ = 4644825600. Its totient is φ = 2088458424.

The previous prime is 3133972411. The next prime is 3133972459. The reversal of 3133972431 is 1342793313.

It is a happy number.

3133972431 is a `hidden beast` number, since 3 + 133 + 97 + 2 + 431 = 666.

It is not a de Polignac number, because 3133972431 - 26 = 3133972367 is a prime.

It is a super-2 number, since 2×31339724312 = 19643566396536099522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133972411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47130 + ... + 92136.

It is an arithmetic number, because the mean of its divisors is an integer number (290301600).

Almost surely, 23133972431 is an apocalyptic number.

3133972431 is a deficient number, since it is larger than the sum of its proper divisors (1510853169).

3133972431 is a wasteful number, since it uses less digits than its factorization.

3133972431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47595 (or 47589 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3133972431 is about 55981.8937782566. The cubic root of 3133972431 is about 1463.4067612877.

The spelling of 3133972431 in words is "three billion, one hundred thirty-three million, nine hundred seventy-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 2579 7737 23211 45007 69633 135021 405063 1215189 116073053 348219159 1044657477 3133972431