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407566682113 is a prime number
BaseRepresentation
bin1011110111001001101…
…11100000100000000001
31102222000000121122111111
411323210313200200001
523134144032311423
6511122240243321
741305611431503
oct5734467404001
91388000548444
10407566682113
11147936848698
1266ba5310541
132c583175936
1415a250b1d73
15a905d4d60d
hex5ee4de0801

407566682113 has 2 divisors, whose sum is σ = 407566682114. Its totient is φ = 407566682112.

The previous prime is 407566682101. The next prime is 407566682161. The reversal of 407566682113 is 311286665704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 275716357569 + 131850324544 = 525087^2 + 363112^2 .

It is a cyclic number.

It is not a de Polignac number, because 407566682113 - 225 = 407533127681 is a prime.

It is a super-2 number, since 2×4075666821132 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (407566686113) 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, 203783341056 + 203783341057.

It is an arithmetic number, because the mean of its divisors is an integer number (203783341057).

Almost surely, 2407566682113 is an apocalyptic number.

It is an amenable number.

407566682113 is a deficient number, since it is larger than the sum of its proper divisors (1).

407566682113 is an equidigital number, since it uses as much as digits as its factorization.

407566682113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 407566682113 in words is "four hundred seven billion, five hundred sixty-six million, six hundred eighty-two thousand, one hundred thirteen".