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456456132253 = 11312141625213
BaseRepresentation
bin1101010010001101110…
…01111101011010011101
31121122012012202001010001
412221012321331122131
524434310232213003
6545405411014301
744656260051532
oct6510671753235
91548165661101
10456456132253
11166644650140
127456a29a391
1334074b0ca64
1418142118d89
15bd17e7661d
hex6a46e7d69d

456456132253 has 16 divisors (see below), whose sum is σ = 514256020992. Its totient is φ = 401386104000.

The previous prime is 456456132199. The next prime is 456456132281. The reversal of 456456132253 is 352231654654.

It is a cyclic number.

It is not a de Polignac number, because 456456132253 - 217 = 456456001181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456456132283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417475 + ... + 1042687.

It is an arithmetic number, because the mean of its divisors is an integer number (32141001312).

Almost surely, 2456456132253 is an apocalyptic number.

It is an amenable number.

456456132253 is a deficient number, since it is larger than the sum of its proper divisors (57799888739).

456456132253 is a wasteful number, since it uses less digits than its factorization.

456456132253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627396.

The product of its digits is 2592000, while the sum is 46.

The spelling of 456456132253 in words is "four hundred fifty-six billion, four hundred fifty-six million, one hundred thirty-two thousand, two hundred fifty-three".

Divisors: 1 11 31 341 2141 23551 66371 625213 730081 6877343 19381603 213197633 1338581033 14724391363 41496012023 456456132253