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45767688401 is a prime number
BaseRepresentation
bin101010100111111101…
…111000000011010001
311101010121222110120102
4222213331320003101
51222213012012101
633005252222145
73210110634611
oct524775700321
9141117873512
1045767688401
1118456737776
128a5360a955
134414c8cb36
1423025c6a41
1512cd03186b
hexaa7f780d1

45767688401 has 2 divisors, whose sum is σ = 45767688402. Its totient is φ = 45767688400.

The previous prime is 45767688361. The next prime is 45767688413. The reversal of 45767688401 is 10488676754.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38337248401 + 7430440000 = 195799^2 + 86200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45767688401 is a prime.

It is not a weakly prime, because it can be changed into another prime (45767684401) 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, 22883844200 + 22883844201.

It is an arithmetic number, because the mean of its divisors is an integer number (22883844201).

Almost surely, 245767688401 is an apocalyptic number.

It is an amenable number.

45767688401 is a deficient number, since it is larger than the sum of its proper divisors (1).

45767688401 is an equidigital number, since it uses as much as digits as its factorization.

45767688401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 45767688401 in words is "forty-five billion, seven hundred sixty-seven million, six hundred eighty-eight thousand, four hundred one".