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481564686401 is a prime number
BaseRepresentation
bin1110000000111110111…
…11011111100001000001
31201001000001220202012222
413000133133133201001
530342221024431101
61005121110300425
746535423203361
oct7003737374101
91631001822188
10481564686401
11176259790537
12793b7057715
13365469934a6
1419444a7c9a1
15c7d743d01b
hex701f7df841

481564686401 has 2 divisors, whose sum is σ = 481564686402. Its totient is φ = 481564686400.

The previous prime is 481564686391. The next prime is 481564686419. The reversal of 481564686401 is 104686465184.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 337821338176 + 143743348225 = 581224^2 + 379135^2 .

It is a cyclic number.

It is not a de Polignac number, because 481564686401 - 214 = 481564670017 is a prime.

It is not a weakly prime, because it can be changed into another prime (481564686431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240782343200 + 240782343201.

It is an arithmetic number, because the mean of its divisors is an integer number (240782343201).

Almost surely, 2481564686401 is an apocalyptic number.

It is an amenable number.

481564686401 is a deficient number, since it is larger than the sum of its proper divisors (1).

481564686401 is an equidigital number, since it uses as much as digits as its factorization.

481564686401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 481564686401 in words is "four hundred eighty-one billion, five hundred sixty-four million, six hundred eighty-six thousand, four hundred one".