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131376465664 = 281730187607
BaseRepresentation
bin111101001011010100…
…1011100011100000000
3110120002211222221112121
41322112221130130000
54123024333400124
6140204205334024
712330426350533
oct1722651343400
9416084887477
10131376465664
1150797654164
1221565867314
13c509103262
146504212a1a
15363db0a2e4
hex1e96a5c700

131376465664 has 36 divisors (see below), whose sum is σ = 277665618384. Its totient is φ = 61824217088.

The previous prime is 131376465653. The next prime is 131376465673. The reversal of 131376465664 is 466564673131.

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 3 ways as a sum of consecutive naturals, for example, 15089452 + ... + 15098155.

It is an arithmetic number, because the mean of its divisors is an integer number (7712933844).

Almost surely, 2131376465664 is an apocalyptic number.

It is an amenable number.

131376465664 is an abundant number, since it is smaller than the sum of its proper divisors (146289152720).

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

131376465664 is an equidigital number, since it uses as much as digits as its factorization.

131376465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30187640 (or 30187626 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 52.

The spelling of 131376465664 in words is "one hundred thirty-one billion, three hundred seventy-six million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 30187607 60375214 120750428 241500856 483001712 513189319 966003424 1026378638 1932006848 2052757276 3864013696 4105514552 7728027392 8211029104 16422058208 32844116416 65688232832 131376465664