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14681649168 = 243411328433
BaseRepresentation
bin11011010110001100…
…00011000000010000
31101220012010001110000
431223012003000100
5220032000233133
610424502410000
71026552646614
oct155306030020
941805101400
1014681649168
11625445435a
122a18a30900
1314cc8c4694
149d3c35344
155addcd413
hex36b183010

14681649168 has 50 divisors (see below), whose sum is σ = 42492955934. Its totient is φ = 4893882624.

The previous prime is 14681649167. The next prime is 14681649209. The reversal of 14681649168 is 86194618641.

14681649168 is a `hidden beast` number, since 1 + 468 + 16 + 4 + 9 + 168 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9539038224 + 5142610944 = 97668^2 + 71712^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14681649167) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5662921 + ... + 5665512.

Almost surely, 214681649168 is an apocalyptic number.

14681649168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14681649168 is an abundant number, since it is smaller than the sum of its proper divisors (27811306766).

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

14681649168 is a wasteful number, since it uses less digits than its factorization.

14681649168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328453 (or 11328438 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 14681649168 in words is "fourteen billion, six hundred eighty-one million, six hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 11328433 22656866 33985299 45313732 67970598 90627464 101955897 135941196 181254928 203911794 271882392 305867691 407823588 543764784 611735382 815647176 917603073 1223470764 1631294352 1835206146 2446941528 3670412292 4893883056 7340824584 14681649168