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46151109161 is a prime number
BaseRepresentation
bin101010111110110100…
…100000101000101001
311102010100110020222022
4222332310200220221
51224004140443121
633111310234225
73222444645443
oct527664405051
9142110406868
1046151109161
1118633109433
128b3bab5975
134476548021
14233b4b3493
151301a1caab
hexabed20a29

46151109161 has 2 divisors, whose sum is σ = 46151109162. Its totient is φ = 46151109160.

The previous prime is 46151109083. The next prime is 46151109197. The reversal of 46151109161 is 16190115164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41771184400 + 4379924761 = 204380^2 + 66181^2 .

It is a cyclic number.

It is not a de Polignac number, because 46151109161 - 230 = 45077367337 is a prime.

It is not a weakly prime, because it can be changed into another prime (46151169161) 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, 23075554580 + 23075554581.

It is an arithmetic number, because the mean of its divisors is an integer number (23075554581).

Almost surely, 246151109161 is an apocalyptic number.

It is an amenable number.

46151109161 is a deficient number, since it is larger than the sum of its proper divisors (1).

46151109161 is an equidigital number, since it uses as much as digits as its factorization.

46151109161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 46151109161 in words is "forty-six billion, one hundred fifty-one million, one hundred nine thousand, one hundred sixty-one".