Search a number
-
+
400767195161 is a prime number
BaseRepresentation
bin1011101010011111001…
…01100001100000011001
31102022110011011220220102
411311033211201200121
523031232400221121
6504035423505145
740645245644414
oct5651745414031
91368404156812
10400767195161
11144a676a7493
12658081581b5
132ba3b576688
141557c02cb7b
15a658e4090b
hex5d4f961819

400767195161 has 2 divisors, whose sum is σ = 400767195162. Its totient is φ = 400767195160.

The previous prime is 400767195133. The next prime is 400767195173. The reversal of 400767195161 is 161591767004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368157697600 + 32609497561 = 606760^2 + 180581^2 .

It is a cyclic number.

It is not a de Polignac number, because 400767195161 - 222 = 400763000857 is a prime.

It is a super-2 number, since 2×4007671951612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (400767191161) 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, 200383597580 + 200383597581.

It is an arithmetic number, because the mean of its divisors is an integer number (200383597581).

Almost surely, 2400767195161 is an apocalyptic number.

It is an amenable number.

400767195161 is a deficient number, since it is larger than the sum of its proper divisors (1).

400767195161 is an equidigital number, since it uses as much as digits as its factorization.

400767195161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 47.

The spelling of 400767195161 in words is "four hundred billion, seven hundred sixty-seven million, one hundred ninety-five thousand, one hundred sixty-one".