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268016704074 = 232714914275951
BaseRepresentation
bin1111100110011100001…
…0100101101001001010
3221121210112201020211100
43321213002211221022
513342344234012244
6323043012042230
725235463252540
oct3714702455112
9847715636740
10268016704074
11a3735495729
1243b3a303376
131c3738ba632
14cd87549d90
156e898c1b69
hex3e670a5a4a

268016704074 has 48 divisors (see below), whose sum is σ = 668114553600. Its totient is φ = 76062261600.

The previous prime is 268016704073. The next prime is 268016704079. The reversal of 268016704074 is 470407610862.

268016704074 is a `hidden beast` number, since 2 + 6 + 80 + 167 + 0 + 407 + 4 = 666.

268016704074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (268016704073) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7119202 + ... + 7156749.

It is an arithmetic number, because the mean of its divisors is an integer number (13919053200).

Almost surely, 2268016704074 is an apocalyptic number.

268016704074 is an abundant number, since it is smaller than the sum of its proper divisors (400097849526).

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

268016704074 is a wasteful number, since it uses less digits than its factorization.

268016704074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14276115 (or 14276112 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 268016704074 in words is "two hundred sixty-eight billion, sixteen million, seven hundred four thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 149 298 447 894 1043 1341 2086 2682 3129 6258 9387 18774 14275951 28551902 42827853 85655706 99931657 128483559 199863314 256967118 299794971 599589942 899384913 1798769826 2127116699 4254233398 6381350097 12762700194 14889816893 19144050291 29779633786 38288100582 44669450679 89338901358 134008352037 268016704074