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456106317269 is a prime number
BaseRepresentation
bin1101010001100100000…
…11100001010111010101
31121121021211111121011112
412220302003201113111
524433101204123034
6545310553144405
744644511505011
oct6506203412725
91547254447145
10456106317269
11166485141a49
12744910bb105
133401a4bcb45
141810b899541
15bce73c77ce
hex6a320e15d5

456106317269 has 2 divisors, whose sum is σ = 456106317270. Its totient is φ = 456106317268.

The previous prime is 456106317181. The next prime is 456106317299. The reversal of 456106317269 is 962713601654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 296765636644 + 159340680625 = 544762^2 + 399175^2 .

It is a cyclic number.

It is not a de Polignac number, because 456106317269 - 232 = 451811349973 is a prime.

It is a super-2 number, since 2×4561063172692 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456106317299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228053158634 + 228053158635.

It is an arithmetic number, because the mean of its divisors is an integer number (228053158635).

Almost surely, 2456106317269 is an apocalyptic number.

It is an amenable number.

456106317269 is a deficient number, since it is larger than the sum of its proper divisors (1).

456106317269 is an equidigital number, since it uses as much as digits as its factorization.

456106317269 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 456106317269 in words is "four hundred fifty-six billion, one hundred six million, three hundred seventeen thousand, two hundred sixty-nine".