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264978137 is a prime number
BaseRepresentation
bin11111100101100…
…11111011011001
3200110121021200002
433302303323121
51020313300022
642143222345
76365164004
oct1762637331
9613537602
10264978137
11126633aa6
12748a79b5
1342b880c8
142729853b
15183e2092
hexfcb3ed9

264978137 has 2 divisors, whose sum is σ = 264978138. Its totient is φ = 264978136.

The previous prime is 264978113. The next prime is 264978143. The reversal of 264978137 is 731879462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 263380441 + 1597696 = 16229^2 + 1264^2 .

It is a cyclic number.

It is not a de Polignac number, because 264978137 - 26 = 264978073 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 264978091 and 264978100.

It is not a weakly prime, because it can be changed into another prime (264978437) 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, 132489068 + 132489069.

It is an arithmetic number, because the mean of its divisors is an integer number (132489069).

Almost surely, 2264978137 is an apocalyptic number.

It is an amenable number.

264978137 is a deficient number, since it is larger than the sum of its proper divisors (1).

264978137 is an equidigital number, since it uses as much as digits as its factorization.

264978137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 47.

The square root of 264978137 is about 16278.1490655418. The cubic root of 264978137 is about 642.2981642812.

The spelling of 264978137 in words is "two hundred sixty-four million, nine hundred seventy-eight thousand, one hundred thirty-seven".