Search a number
-
+
463264417057297 is a prime number
BaseRepresentation
bin110100101010101100010011…
…1000001000000101000010001
32020202021122102202021011022111
41221111120213001000220101
5441210111011231313142
64321140422444105321
7166402515056140012
oct15125304701005021
92222248382234274
10463264417057297
11124679377172209
1243b5b8b7b35241
1316b6585482b34b
1482581902c7009
153885885ca4e17
hex1a55627040a11

463264417057297 has 2 divisors, whose sum is σ = 463264417057298. Its totient is φ = 463264417057296.

The previous prime is 463264417057243. The next prime is 463264417057363. The reversal of 463264417057297 is 792750714462364.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 298674402275601 + 164590014781696 = 17282199^2 + 12829264^2 .

It is a cyclic number.

It is not a de Polignac number, because 463264417057297 - 235 = 463230057318929 is a prime.

It is a super-2 number, since 2×4632644170572972 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (463264417057097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231632208528648 + 231632208528649.

It is an arithmetic number, because the mean of its divisors is an integer number (231632208528649).

Almost surely, 2463264417057297 is an apocalyptic number.

It is an amenable number.

463264417057297 is a deficient number, since it is larger than the sum of its proper divisors (1).

463264417057297 is an equidigital number, since it uses as much as digits as its factorization.

463264417057297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 426746880, while the sum is 67.

The spelling of 463264417057297 in words is "four hundred sixty-three trillion, two hundred sixty-four billion, four hundred seventeen million, fifty-seven thousand, two hundred ninety-seven".