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641315135646049 is a prime number
BaseRepresentation
bin1001000111010001011101000…
…0110110010110100101100001
310010002201010110110120010100011
42101310113100312112211201
51133024301344211133144
610151544034525524521
7252040326624012334
oct22164272066264541
93102633413503304
10641315135646049
11176385249026097
125bb17205413741
13216ac9b0b5c1a7
14b451b6514661b
154e221299baa34
hex24745d0d96961

641315135646049 has 2 divisors, whose sum is σ = 641315135646050. Its totient is φ = 641315135646048.

The previous prime is 641315135646047. The next prime is 641315135646109. The reversal of 641315135646049 is 940646531513146.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 639747989697600 + 1567145948449 = 25293240^2 + 1251857^2 .

It is a cyclic number.

It is not a de Polignac number, because 641315135646049 - 21 = 641315135646047 is a prime.

It is a super-2 number, since 2×6413151356460492 (a number of 30 digits) contains 22 as substring.

Together with 641315135646047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 641315135645984 and 641315135646002.

It is not a weakly prime, because it can be changed into another prime (641315135646047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 320657567823024 + 320657567823025.

It is an arithmetic number, because the mean of its divisors is an integer number (320657567823025).

Almost surely, 2641315135646049 is an apocalyptic number.

It is an amenable number.

641315135646049 is a deficient number, since it is larger than the sum of its proper divisors (1).

641315135646049 is an equidigital number, since it uses as much as digits as its factorization.

641315135646049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27993600, while the sum is 58.

The spelling of 641315135646049 in words is "six hundred forty-one trillion, three hundred fifteen billion, one hundred thirty-five million, six hundred forty-six thousand, forty-nine".