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826685670137 is a prime number
BaseRepresentation
bin11000000011110100100…
…11100100001011111001
32221000211010221020111212
430001322103210023321
5102021023012421022
61431435114532505
7113504020153415
oct14017223441371
92830733836455
10826685670137
11299660566738
12114273437135
135cc577b2b32
142c024543d45
1516785e873e2
hexc07a4e42f9

826685670137 has 2 divisors, whose sum is σ = 826685670138. Its totient is φ = 826685670136.

The previous prime is 826685670131. The next prime is 826685670143. The reversal of 826685670137 is 731076586628.

It is a balanced prime because it is at equal distance from previous prime (826685670131) and next prime (826685670143).

It can be written as a sum of positive squares in only one way, i.e., 749706612736 + 76979057401 = 865856^2 + 277451^2 .

It is a cyclic number.

It is not a de Polignac number, because 826685670137 - 228 = 826417234681 is a prime.

It is not a weakly prime, because it can be changed into another prime (826685670131) 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 as a sum of consecutive naturals, namely, 413342835068 + 413342835069.

It is an arithmetic number, because the mean of its divisors is an integer number (413342835069).

Almost surely, 2826685670137 is an apocalyptic number.

It is an amenable number.

826685670137 is a deficient number, since it is larger than the sum of its proper divisors (1).

826685670137 is an equidigital number, since it uses as much as digits as its factorization.

826685670137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20321280, while the sum is 59.

The spelling of 826685670137 in words is "eight hundred twenty-six billion, six hundred eighty-five million, six hundred seventy thousand, one hundred thirty-seven".