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12952899825921 = 3211130837371979
BaseRepresentation
bin1011110001111101010011…
…1111100011000100000001
31200212021200212012202222200
42330133110333203010001
53144210014323412141
643314251404223413
72504546634622536
oct274372477430401
950767625182880
1012952899825921
1141443262a78a0
121552437b3ab69
1372c5b7928123
1432acd08a2d8d
15176e04699ab6
hexbc7d4fe3101

12952899825921 has 12 divisors (see below), whose sum is σ = 20410630028880. Its totient is φ = 7850242318680.

The previous prime is 12952899825919. The next prime is 12952899825923.

12952899825921 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 28 + 9 + 9 + 8 + 2 + 592 + 1 = 666.

12952899825921 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (12952899825919) and next prime (12952899825923).

It is not a de Polignac number, because 12952899825921 - 21 = 12952899825919 is a prime.

It is a super-2 number, since 2×129528998259212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12952899825921.

It is not an unprimeable number, because it can be changed into a prime (12952899825923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65418685891 + ... + 65418686088.

It is an arithmetic number, because the mean of its divisors is an integer number (1700885835740).

Almost surely, 212952899825921 is an apocalyptic number.

12952899825921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12952899825921 is a deficient number, since it is larger than the sum of its proper divisors (7457730202959).

12952899825921 is a wasteful number, since it uses less digits than its factorization.

12952899825921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130837371996 (or 130837371993 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 72.

The spelling of 12952899825921 in words is "twelve trillion, nine hundred fifty-two billion, eight hundred ninety-nine million, eight hundred twenty-five thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 33 99 130837371979 392512115937 1177536347811 1439211091769 4317633275307 12952899825921