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815193023441 is a prime number
BaseRepresentation
bin10111101110011010100…
…10100110001111010001
32212221011012111022001112
423313031102212033101
5101324003403222231
61422254451343105
7112616146241006
oct13671522461721
92787135438045
10815193023441
112947a3234115
12111ba65b1a95
135bb457a9384
142b6540738ad
151631203392b
hexbdcd4a63d1

815193023441 has 2 divisors, whose sum is σ = 815193023442. Its totient is φ = 815193023440.

The previous prime is 815193023399. The next prime is 815193023443. The reversal of 815193023441 is 144320391518.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 433485292816 + 381707730625 = 658396^2 + 617825^2 .

It is a cyclic number.

It is not a de Polignac number, because 815193023441 - 26 = 815193023377 is a prime.

Together with 815193023443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (815193023443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407596511720 + 407596511721.

It is an arithmetic number, because the mean of its divisors is an integer number (407596511721).

Almost surely, 2815193023441 is an apocalyptic number.

It is an amenable number.

815193023441 is a deficient number, since it is larger than the sum of its proper divisors (1).

815193023441 is an equidigital number, since it uses as much as digits as its factorization.

815193023441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 815193023441 in words is "eight hundred fifteen billion, one hundred ninety-three million, twenty-three thousand, four hundred forty-one".