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12390066667 = 1117261181353
BaseRepresentation
bin10111000101000000…
…10110100111101011
31011222111002121020001
423202200112213223
5200333324113132
65405242043431
7616015554226
oct134240264753
934874077201
1012390066667
115288962520
1224994a9577
131225c089c4
148577585bd
154c7b20ce7
hex2e28169eb

12390066667 has 48 divisors (see below), whose sum is σ = 14715870624. Its totient is φ = 10340352000.

The previous prime is 12390066629. The next prime is 12390066697. The reversal of 12390066667 is 76666009321.

12390066667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12390066667 - 215 = 12390033899 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12390066697) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 35099163 + ... + 35099515.

It is an arithmetic number, because the mean of its divisors is an integer number (306580638).

Almost surely, 212390066667 is an apocalyptic number.

12390066667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12390066667 is a deficient number, since it is larger than the sum of its proper divisors (2325803957).

12390066667 is a wasteful number, since it uses less digits than its factorization.

12390066667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 12390066667 in words is "twelve billion, three hundred ninety million, sixty-six thousand, six hundred sixty-seven".

Divisors: 1 11 17 61 181 187 289 353 671 1037 1991 3077 3179 3883 6001 11041 11407 17629 21533 33847 52309 63893 66011 102017 121451 187697 193919 236863 366061 575399 702823 1086181 1122187 2064667 3190849 3897473 4026671 6223037 11947991 18465077 35099339 42872203 66257041 68453407 203115847 728827451 1126369697 12390066667