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13722611796 = 2232481779133
BaseRepresentation
bin11001100011110111…
…00111000001010100
31022102100111220111100
430301323213001110
5211100442034141
610145403110100
7664026163365
oct146173470124
938370456440
1013722611796
115902069393
1227ab812330
1313a8cca24a
1494270bb6c
15554ade0b6
hex331ee7054

13722611796 has 36 divisors (see below), whose sum is σ = 34695352692. Its totient is φ = 4573196544.

The previous prime is 13722611731. The next prime is 13722611797. The reversal of 13722611796 is 69711622731.

13722611796 is a `hidden beast` number, since 1 + 3 + 7 + 22 + 611 + 7 + 9 + 6 = 666.

13722611796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6860808900 + 6861802896 = 82830^2 + 82836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13722611797) 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 11 ways as a sum of consecutive naturals, for example, 133846 + ... + 212978.

It is an arithmetic number, because the mean of its divisors is an integer number (963759797).

Almost surely, 213722611796 is an apocalyptic number.

It is an amenable number.

13722611796 is an abundant number, since it is smaller than the sum of its proper divisors (20972740896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13722611796 is a wasteful number, since it uses less digits than its factorization.

13722611796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83960 (or 83955 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The spelling of 13722611796 in words is "thirteen billion, seven hundred twenty-two million, six hundred eleven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 4817 9634 14451 19268 28902 43353 57804 79133 86706 158266 173412 237399 316532 474798 712197 949596 1424394 2848788 381183661 762367322 1143550983 1524734644 2287101966 3430652949 4574203932 6861305898 13722611796