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12300077666637 = 322762294947617
BaseRepresentation
bin1011001011111101010111…
…0000101001000101001101
31121112212122120011000010200
42302333111300221011031
53103011024340313022
642054324435524113
72406436251052245
oct262772560510515
947485576130120
1012300077666637
113a124851a9202
121467a07159639
136b2b7a642787
1430748117ab25
15164e47321bac
hexb2fd5c2914d

12300077666637 has 12 divisors (see below), whose sum is σ = 17766846761820. Its totient is φ = 8200020434688.

The previous prime is 12300077666629. The next prime is 12300077666659. The reversal of 12300077666637 is 73666677000321.

It can be written as a sum of positive squares in 2 ways, for example, as 8439524667396 + 3860552999241 = 2905086^2 + 1964829^2 .

It is not a de Polignac number, because 12300077666637 - 23 = 12300077666629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300077666537) 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, 12253 + ... + 4959869.

It is an arithmetic number, because the mean of its divisors is an integer number (1480570563485).

Almost surely, 212300077666637 is an apocalyptic number.

It is an amenable number.

12300077666637 is a deficient number, since it is larger than the sum of its proper divisors (5466769095183).

12300077666637 is a wasteful number, since it uses less digits than its factorization.

12300077666637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223852 (or 5223849 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 12300077666637 in words is "twelve trillion, three hundred billion, seventy-seven million, six hundred sixty-six thousand, six hundred thirty-seven".

Divisors: 1 3 9 276229 828687 2486061 4947617 14842851 44528553 1366675296293 4100025888879 12300077666637