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11256679761 = 317212983483
BaseRepresentation
bin10100111101111001…
…10100110101010001
31002001111102120200020
422132330310311101
5141023202223021
65100553414053
7545644125225
oct123674646521
932044376606
1011256679761
114857114128
122221a0a329
1310a5168572
1478b008785
1545d3927c6
hex29ef34d51

11256679761 has 12 divisors (see below), whose sum is σ = 15943718352. Its totient is φ = 7063014208.

The previous prime is 11256679747. The next prime is 11256679769. The reversal of 11256679761 is 16797665211.

It is a happy number.

It is not a de Polignac number, because 11256679761 - 26 = 11256679697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (11256679769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6490875 + ... + 6492608.

It is an arithmetic number, because the mean of its divisors is an integer number (1328643196).

Almost surely, 211256679761 is an apocalyptic number.

It is an amenable number.

11256679761 is a deficient number, since it is larger than the sum of its proper divisors (4687038591).

11256679761 is a wasteful number, since it uses less digits than its factorization.

11256679761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12983520 (or 12983503 counting only the distinct ones).

The product of its digits is 952560, while the sum is 51.

The spelling of 11256679761 in words is "eleven billion, two hundred fifty-six million, six hundred seventy-nine thousand, seven hundred sixty-one".

Divisors: 1 3 17 51 289 867 12983483 38950449 220719211 662157633 3752226587 11256679761