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12157044075089 is a prime number
BaseRepresentation
bin1011000011101000100001…
…0010110010101001010001
31121001012110022012201002222
42300322020102302221101
53043140111240400324
641504511405350425
72363213612432564
oct260721022625121
947035408181088
1012157044075089
1139678564a0911
121444149568415
136a25344375c4
14300592ac04db
1516137512355e
hexb0e884b2a51

12157044075089 has 2 divisors, whose sum is σ = 12157044075090. Its totient is φ = 12157044075088.

The previous prime is 12157044075083. The next prime is 12157044075097. The reversal of 12157044075089 is 98057044075121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8448858382864 + 3708185692225 = 2906692^2 + 1925665^2 .

It is a cyclic number.

It is not a de Polignac number, because 12157044075089 - 224 = 12157027297873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12157044075089.

It is not a weakly prime, because it can be changed into another prime (12157044075083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6078522037544 + 6078522037545.

It is an arithmetic number, because the mean of its divisors is an integer number (6078522037545).

Almost surely, 212157044075089 is an apocalyptic number.

It is an amenable number.

12157044075089 is a deficient number, since it is larger than the sum of its proper divisors (1).

12157044075089 is an equidigital number, since it uses as much as digits as its factorization.

12157044075089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2822400, while the sum is 53.

The spelling of 12157044075089 in words is "twelve trillion, one hundred fifty-seven billion, forty-four million, seventy-five thousand, eighty-nine".