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123648590641 is a prime number
BaseRepresentation
bin111001100101000000…
…1111100001100110001
3102211011021122012221011
41303022001330030301
54011213014400031
6132445310230521
711635061451622
oct1631201741461
9384137565834
10123648590641
1148491451294
121bb697b5441
13b87707b244
145dadb43a49
15333a4646b1
hex1cca07c331

123648590641 has 2 divisors, whose sum is σ = 123648590642. Its totient is φ = 123648590640.

The previous prime is 123648590629. The next prime is 123648590669. The reversal of 123648590641 is 146095846321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121856846400 + 1791744241 = 349080^2 + 42329^2 .

It is a cyclic number.

It is not a de Polignac number, because 123648590641 - 29 = 123648590129 is a prime.

It is not a weakly prime, because it can be changed into another prime (123648590671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61824295320 + 61824295321.

It is an arithmetic number, because the mean of its divisors is an integer number (61824295321).

Almost surely, 2123648590641 is an apocalyptic number.

It is an amenable number.

123648590641 is a deficient number, since it is larger than the sum of its proper divisors (1).

123648590641 is an equidigital number, since it uses as much as digits as its factorization.

123648590641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 123648590641 in words is "one hundred twenty-three billion, six hundred forty-eight million, five hundred ninety thousand, six hundred forty-one".