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264516016 = 2479209269
BaseRepresentation
bin11111100010000…
…11000110110000
3200102201210202111
433301003012300
51020204003031
642125255104
76361230502
oct1761030660
9612653674
10264516016
11126348886
1274704494
1342a5596b
14271b7d72
15183501b1
hexfc431b0

264516016 has 20 divisors (see below), whose sum is σ = 518989600. Its totient is φ = 130583232.

The previous prime is 264516001. The next prime is 264516017. The reversal of 264516016 is 610615462.

264516016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2645160163 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (264516017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103371 + ... + 105898.

It is an arithmetic number, because the mean of its divisors is an integer number (25949480).

Almost surely, 2264516016 is an apocalyptic number.

It is an amenable number.

264516016 is a deficient number, since it is larger than the sum of its proper divisors (254473584).

264516016 is a wasteful number, since it uses less digits than its factorization.

264516016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209356 (or 209350 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 264516016 is about 16263.9483521069. The cubic root of 264516016 is about 641.9245583786.

The spelling of 264516016 in words is "two hundred sixty-four million, five hundred sixteen thousand, sixteen".

Divisors: 1 2 4 8 16 79 158 316 632 1264 209269 418538 837076 1674152 3348304 16532251 33064502 66129004 132258008 264516016