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813792905741 is a prime number
BaseRepresentation
bin10111101011110011101…
…01100100101000001101
32212210112121220221122102
423311321311210220031
5101313121440440431
61421503514124445
7112536355365134
oct13657165445015
92783477827572
10813792905741
11294144974a52
12111875720725
135b9816b916a
142b56013091b
151627e168dcb
hexbd79d64a0d

813792905741 has 2 divisors, whose sum is σ = 813792905742. Its totient is φ = 813792905740.

The previous prime is 813792905713. The next prime is 813792905743. The reversal of 813792905741 is 147509297318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 812078531716 + 1714374025 = 901154^2 + 41405^2 .

It is a cyclic number.

It is not a de Polignac number, because 813792905741 - 26 = 813792905677 is a prime.

It is a super-2 number, since 2×8137929057412 (a number of 25 digits) contains 22 as substring.

Together with 813792905743, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813792905743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406896452870 + 406896452871.

It is an arithmetic number, because the mean of its divisors is an integer number (406896452871).

Almost surely, 2813792905741 is an apocalyptic number.

It is an amenable number.

813792905741 is a deficient number, since it is larger than the sum of its proper divisors (1).

813792905741 is an equidigital number, since it uses as much as digits as its factorization.

813792905741 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3810240, while the sum is 56.

The spelling of 813792905741 in words is "eight hundred thirteen billion, seven hundred ninety-two million, nine hundred five thousand, seven hundred forty-one".