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12137504641 is a prime number
BaseRepresentation
bin10110100110111001…
…11001111110000001
31011022212212010020221
423103130321332001
5144324200122031
65324220503041
7606531041623
oct132334717601
934285763227
1012137504641
115169339979
1224289aaa81
1311b57aa112
14831db2c13
154b0882a11
hex2d3739f81

12137504641 has 2 divisors, whose sum is σ = 12137504642. Its totient is φ = 12137504640.

The previous prime is 12137504633. The next prime is 12137504657. The reversal of 12137504641 is 14640573121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8987040000 + 3150464641 = 94800^2 + 56129^2 .

It is a cyclic number.

It is not a de Polignac number, because 12137504641 - 23 = 12137504633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12137504597 and 12137504606.

It is not a weakly prime, because it can be changed into another prime (12137574641) 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, 6068752320 + 6068752321.

It is an arithmetic number, because the mean of its divisors is an integer number (6068752321).

Almost surely, 212137504641 is an apocalyptic number.

It is an amenable number.

12137504641 is a deficient number, since it is larger than the sum of its proper divisors (1).

12137504641 is an equidigital number, since it uses as much as digits as its factorization.

12137504641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 12137504641 in words is "twelve billion, one hundred thirty-seven million, five hundred four thousand, six hundred forty-one".