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14005364652 = 2232760351169
BaseRepresentation
bin11010000101100100…
…01110011110101100
31100011001120020111100
431002302032132230
5212140333132102
610233423323100
71004031430626
oct150262163654
940131506440
1014005364652
115a37732834
12286a450490
131422769926
1496c0b1c16
1556e842a1c
hex342c8e7ac

14005364652 has 36 divisors (see below), whose sum is σ = 35407797880. Its totient is φ = 4667749632.

The previous prime is 14005364627. The next prime is 14005364669. The reversal of 14005364652 is 25646350041.

14005364652 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 5 + 3 + 646 + 5 + 2 = 666.

14005364652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×140053646522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248124 + ... + 299292.

Almost surely, 214005364652 is an apocalyptic number.

14005364652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14005364652 is an abundant number, since it is smaller than the sum of its proper divisors (21402433228).

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

14005364652 is a wasteful number, since it uses less digits than its factorization.

14005364652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58782 (or 58777 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 14005364652 in words is "fourteen billion, five million, three hundred sixty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 7603 15206 22809 30412 45618 51169 68427 91236 102338 136854 153507 204676 273708 307014 460521 614028 921042 1842084 389037907 778075814 1167113721 1556151628 2334227442 3501341163 4668454884 7002682326 14005364652