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12281793158961 = 3247136721239921
BaseRepresentation
bin1011001010111001001111…
…1010110001111100110001
31121111010110021121202221200
42302232103322301330301
53102211103022041321
642042102231241413
72405221166233554
oct262562372617461
947433407552850
1012281793158961
113a05752063a37
121464363819269
136b12254a9b71
14306628a5069b
15164726eb9d26
hexb2b93eb1f31

12281793158961 has 24 divisors (see below), whose sum is σ = 18131077096704. Its totient is φ = 8007789678720.

The previous prime is 12281793158903. The next prime is 12281793158977. The reversal of 12281793158961 is 16985139718221.

12281793158961 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 17 + 9 + 31 + 589 + 6 + 1 = 666.

It is not a de Polignac number, because 12281793158961 - 221 = 12281791061809 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12281793158981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10041720 + ... + 11198201.

It is an arithmetic number, because the mean of its divisors is an integer number (755461545696).

Almost surely, 212281793158961 is an apocalyptic number.

It is an amenable number.

12281793158961 is a deficient number, since it is larger than the sum of its proper divisors (5849283937743).

12281793158961 is a wasteful number, since it uses less digits than its factorization.

12281793158961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21241341 (or 21241338 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 12281793158961 in words is "twelve trillion, two hundred eighty-one billion, seven hundred ninety-three million, one hundred fifty-eight thousand, nine hundred sixty-one".

Divisors: 1 3 9 47 141 423 1367 4101 12303 64249 192747 578241 21239921 63719763 191159289 998276287 2994828861 8984486583 29034972007 87104916021 261314748063 1364643684329 4093931052987 12281793158961