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496417144081 is a prime number
BaseRepresentation
bin1110011100101001100…
…01000111110100010001
31202110100011102202220011
413032110301013310101
531113130242102311
61020014554114521
750602452050305
oct7162461076421
91673304382804
10496417144081
11181590599851
128026111ba41
1337a72a911a1
141a053457d05
15cda630b321
hex7394c47d11

496417144081 has 2 divisors, whose sum is σ = 496417144082. Its totient is φ = 496417144080.

The previous prime is 496417144063. The next prime is 496417144141. The reversal of 496417144081 is 180441714694.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 329292345600 + 167124798481 = 573840^2 + 408809^2 .

It is a cyclic number.

It is not a de Polignac number, because 496417144081 - 27 = 496417143953 is a prime.

It is a super-2 number, since 2×4964171440812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (496417144681) 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, 248208572040 + 248208572041.

It is an arithmetic number, because the mean of its divisors is an integer number (248208572041).

Almost surely, 2496417144081 is an apocalyptic number.

It is an amenable number.

496417144081 is a deficient number, since it is larger than the sum of its proper divisors (1).

496417144081 is an equidigital number, since it uses as much as digits as its factorization.

496417144081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 496417144081 in words is "four hundred ninety-six billion, four hundred seventeen million, one hundred forty-four thousand, eighty-one".