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456116373137 is a prime number
BaseRepresentation
bin1101010001100101010…
…01111000011010010001
31121121022112102111020002
412220302221320122101
524433111242420022
6545311552455345
744644663126265
oct6506251703221
91547275374202
10456116373137
1116648a890087
127449454a555
133401c600c69
141810cd560a5
15bce8212092
hex6a32a78691

456116373137 has 2 divisors, whose sum is σ = 456116373138. Its totient is φ = 456116373136.

The previous prime is 456116373133. The next prime is 456116373151. The reversal of 456116373137 is 731373611654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 351448594561 + 104667778576 = 592831^2 + 323524^2 .

It is a cyclic number.

It is not a de Polignac number, because 456116373137 - 22 = 456116373133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456116373091 and 456116373100.

It is not a weakly prime, because it can be changed into another prime (456116373131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228058186568 + 228058186569.

It is an arithmetic number, because the mean of its divisors is an integer number (228058186569).

Almost surely, 2456116373137 is an apocalyptic number.

It is an amenable number.

456116373137 is a deficient number, since it is larger than the sum of its proper divisors (1).

456116373137 is an equidigital number, since it uses as much as digits as its factorization.

456116373137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 952560, while the sum is 47.

The spelling of 456116373137 in words is "four hundred fifty-six billion, one hundred sixteen million, three hundred seventy-three thousand, one hundred thirty-seven".