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12890151375 = 353157218941
BaseRepresentation
bin11000000000101000…
…00001100111001111
31020021100002112110220
430000110001213033
5202344334321000
65531024402423
7634300323153
oct140024014717
936240075426
1012890151375
115515177572
1225b8a76413
1312a56c050a
148a3d33063
155069a41a0
hex3005019cf

12890151375 has 32 divisors (see below), whose sum is σ = 21585929664. Its totient is φ = 6830928000.

The previous prime is 12890151347. The next prime is 12890151413. The reversal of 12890151375 is 57315109821.

It is not a de Polignac number, because 12890151375 - 25 = 12890151343 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 50596 + ... + 168345.

It is an arithmetic number, because the mean of its divisors is an integer number (674560302).

Almost surely, 212890151375 is an apocalyptic number.

12890151375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12890151375 is a deficient number, since it is larger than the sum of its proper divisors (8695778289).

12890151375 is a wasteful number, since it uses less digits than its factorization.

12890151375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219116 (or 219106 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The spelling of 12890151375 in words is "twelve billion, eight hundred ninety million, one hundred fifty-one thousand, three hundred seventy-five".

Divisors: 1 3 5 15 25 75 125 157 375 471 785 2355 3925 11775 19625 58875 218941 656823 1094705 3284115 5473525 16420575 27367625 34373737 82102875 103121211 171868685 515606055 859343425 2578030275 4296717125 12890151375