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456116373136 = 2428507273321
BaseRepresentation
bin1101010001100101010…
…01111000011010010000
31121121022112102111020001
412220302221320122100
524433111242420021
6545311552455344
744644663126264
oct6506251703220
91547275374201
10456116373136
1116648a890086
127449454a554
133401c600c68
141810cd560a4
15bce8212091
hex6a32a78690

456116373136 has 10 divisors (see below), whose sum is σ = 883725472982. Its totient is φ = 228058186560.

The previous prime is 456116373133. The next prime is 456116373137. The reversal of 456116373136 is 631373611654.

It can be written as a sum of positive squares in only one way, i.e., 456003078400 + 113294736 = 675280^2 + 10644^2 .

It is not an unprimeable number, because it can be changed into a prime (456116373131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14253636645 + ... + 14253636676.

Almost surely, 2456116373136 is an apocalyptic number.

It is an amenable number.

456116373136 is a deficient number, since it is larger than the sum of its proper divisors (427609099846).

456116373136 is a wasteful number, since it uses less digits than its factorization.

456116373136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28507273329 (or 28507273323 counting only the distinct ones).

The product of its digits is 816480, while the sum is 46.

The spelling of 456116373136 in words is "four hundred fifty-six billion, one hundred sixteen million, three hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 28507273321 57014546642 114029093284 228058186568 456116373136