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12785958461 is a prime number
BaseRepresentation
bin10111110100001101…
…00011111000111101
31020000002000222200002
423322012203320331
5202141201132321
65512423244045
7631563565553
oct137206437075
936002028602
1012785958461
115471381921
122589ba9625
131289c3c3c3
1489416dbd3
154ec77220b
hex2fa1a3e3d

12785958461 has 2 divisors, whose sum is σ = 12785958462. Its totient is φ = 12785958460.

The previous prime is 12785958433. The next prime is 12785958503. The reversal of 12785958461 is 16485958721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12764706361 + 21252100 = 112981^2 + 4610^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12785958461 is a prime.

It is a super-3 number, since 3×127859584613 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12785958397 and 12785958406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12785958431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6392979230 + 6392979231.

It is an arithmetic number, because the mean of its divisors is an integer number (6392979231).

Almost surely, 212785958461 is an apocalyptic number.

It is an amenable number.

12785958461 is a deficient number, since it is larger than the sum of its proper divisors (1).

12785958461 is an equidigital number, since it uses as much as digits as its factorization.

12785958461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4838400, while the sum is 56.

The spelling of 12785958461 in words is "twelve billion, seven hundred eighty-five million, nine hundred fifty-eight thousand, four hundred sixty-one".