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114577267616 = 257310438891
BaseRepresentation
bin110101010110101010…
…1100101101110100000
3101221202002100021010022
41222231111211232200
53334123240030431
6124345220253012
711164221464000
oct1525525455640
9357662307108
10114577267616
1144656976009
121a257841168
13aa5c8b8196
14578d084000
152ea8d9a07b
hex1aad565ba0

114577267616 has 48 divisors (see below), whose sum is σ = 263060078400. Its totient is φ = 49104538560.

The previous prime is 114577267589. The next prime is 114577267657. The reversal of 114577267616 is 616762775411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5208470 + ... + 5230421.

It is an arithmetic number, because the mean of its divisors is an integer number (5480418300).

Almost surely, 2114577267616 is an apocalyptic number.

114577267616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114577267616 is an abundant number, since it is smaller than the sum of its proper divisors (148482810784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114577267616 is an equidigital number, since it uses as much as digits as its factorization.

114577267616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438922 (or 10438900 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 53.

The spelling of 114577267616 in words is "one hundred fourteen billion, five hundred seventy-seven million, two hundred sixty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976 10438891 20877782 41755564 73072237 83511128 146144474 167022256 292288948 334044512 511505659 584577896 1023011318 1169155792 2046022636 2338311584 3580539613 4092045272 7161079226 8184090544 14322158452 16368181088 28644316904 57288633808 114577267616