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131466906966 = 2341719374297
BaseRepresentation
bin111101001110000001…
…0011100110101010110
3110120100011011211200110
41322130002130311112
54123221012010331
6140221200023450
712332605162023
oct1723402346526
9416304154613
10131466906966
115083370703a
1221590001b86
13c521a7b015
14651223654a
153646a22946
hex1e9c09cd56

131466906966 has 32 divisors (see below), whose sum is σ = 269387905248. Its totient is φ = 42746946560.

The previous prime is 131466906917. The next prime is 131466907001. The reversal of 131466906966 is 669609664131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1732330 + ... + 1806626.

It is an arithmetic number, because the mean of its divisors is an integer number (8418372039).

Almost surely, 2131466906966 is an apocalyptic number.

131466906966 is an abundant number, since it is smaller than the sum of its proper divisors (137920998282).

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

131466906966 is a wasteful number, since it uses less digits than its factorization.

131466906966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81536.

The product of its (nonzero) digits is 7558272, while the sum is 57.

The spelling of 131466906966 in words is "one hundred thirty-one billion, four hundred sixty-six million, nine hundred six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 41 82 123 246 7193 14386 21579 43158 74297 148594 222891 294913 445782 589826 884739 1769478 3046177 6092354 9138531 18277062 534418321 1068836642 1603254963 3206509926 21911151161 43822302322 65733453483 131466906966