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456378113957 is a prime number
BaseRepresentation
bin1101010010000100100…
…00010101111110100101
31121121222202221022010112
412221002100111332211
524434130244121312
6545353542502405
744654321651123
oct6510220257645
91547882838115
10456378113957
11166604602907
1274548134a05
13340618c469c
1418135a0a913
15bd111b4d22
hex6a42415fa5

456378113957 has 2 divisors, whose sum is σ = 456378113958. Its totient is φ = 456378113956.

The previous prime is 456378113909. The next prime is 456378113963. The reversal of 456378113957 is 759311873654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 430118235556 + 26259878401 = 655834^2 + 162049^2 .

It is a cyclic number.

It is not a de Polignac number, because 456378113957 - 28 = 456378113701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456378113896 and 456378113905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456378113057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228189056978 + 228189056979.

It is an arithmetic number, because the mean of its divisors is an integer number (228189056979).

Almost surely, 2456378113957 is an apocalyptic number.

It is an amenable number.

456378113957 is a deficient number, since it is larger than the sum of its proper divisors (1).

456378113957 is an equidigital number, since it uses as much as digits as its factorization.

456378113957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 19051200, while the sum is 59.

The spelling of 456378113957 in words is "four hundred fifty-six billion, three hundred seventy-eight million, one hundred thirteen thousand, nine hundred fifty-seven".