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131664676 = 221113383601
BaseRepresentation
bin1111101100100…
…00101100100100
3100011202020222111
413312100230210
5232201232201
621022010404
73156063013
oct766205444
9304666874
10131664676
1168359690
1238116a04
132137c3c0
14136b4a7a
15b85bb51
hex7d90b24

131664676 has 48 divisors (see below), whose sum is σ = 271853568. Its totient is φ = 55008000.

The previous prime is 131664671. The next prime is 131664679. The reversal of 131664676 is 676466131.

131664676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131664671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218776 + ... + 219376.

It is an arithmetic number, because the mean of its divisors is an integer number (5663616).

Almost surely, 2131664676 is an apocalyptic number.

It is an amenable number.

131664676 is an abundant number, since it is smaller than the sum of its proper divisors (140188892).

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

131664676 is a wasteful number, since it uses less digits than its factorization.

131664676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 131664676 is about 11474.5229094721. The cubic root of 131664676 is about 508.7328223166.

The spelling of 131664676 in words is "one hundred thirty-one million, six hundred sixty-four thousand, six hundred seventy-six".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 383 572 601 766 1202 1532 2404 4213 4979 6611 7813 8426 9958 13222 15626 16852 19916 26444 31252 54769 85943 109538 171886 219076 230183 343772 460366 920732 2532013 2992379 5064026 5984758 10128052 11969516 32916169 65832338 131664676