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10505646461 is a prime number
BaseRepresentation
bin10011100100010111…
…10111000101111101
31000010011020010200002
421302023313011331
5133003421141321
64454244244045
7521224343612
oct116213670575
930104203602
1010505646461
114501188752
1220523a0625
13cb569b66b
14719388509
1541748e20b
hex2722f717d

10505646461 has 2 divisors, whose sum is σ = 10505646462. Its totient is φ = 10505646460.

The previous prime is 10505646457. The next prime is 10505646491. The reversal of 10505646461 is 16464650501.

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., 7038203236 + 3467443225 = 83894^2 + 58885^2 .

It is a cyclic number.

It is not a de Polignac number, because 10505646461 - 22 = 10505646457 is a prime.

It is a super-2 number, since 2×105056464612 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10505646491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252823230 + 5252823231.

It is an arithmetic number, because the mean of its divisors is an integer number (5252823231).

Almost surely, 210505646461 is an apocalyptic number.

It is an amenable number.

10505646461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505646461 is an equidigital number, since it uses as much as digits as its factorization.

10505646461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 10505646461 in words is "ten billion, five hundred five million, six hundred forty-six thousand, four hundred sixty-one".