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45892000961 is a prime number
BaseRepresentation
bin101010101111011000…
…000101110011000001
311101110021220012100022
4222233120011303001
51222441323012321
633025452503225
73213150400112
oct525730056301
9141407805308
1045892000961
111850a924624
128a8917ab15
134434966971
142314d06209
1512d8dd9dab
hexaaf605cc1

45892000961 has 2 divisors, whose sum is σ = 45892000962. Its totient is φ = 45892000960.

The previous prime is 45892000951. The next prime is 45892000969. The reversal of 45892000961 is 16900029854.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30684178561 + 15207822400 = 175169^2 + 123320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45892000961 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (45892000969) 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, 22946000480 + 22946000481.

It is an arithmetic number, because the mean of its divisors is an integer number (22946000481).

Almost surely, 245892000961 is an apocalyptic number.

It is an amenable number.

45892000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

45892000961 is an equidigital number, since it uses as much as digits as its factorization.

45892000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 45892000961 in words is "forty-five billion, eight hundred ninety-two million, nine hundred sixty-one", and thus it is an aban number.