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14468730552 = 2332792543729
BaseRepresentation
bin11010111100110011…
…10100111010111000
31101100100110200000100
431132121310322320
5214112443334202
610351415035400
71021356115623
oct153631647270
941310420010
1014468730552
116155248461
12297966bb60
131497766233
149b384cdba
1559a37141c
hex35e674eb8

14468730552 has 48 divisors (see below), whose sum is σ = 39682188000. Its totient is φ = 4761858816.

The previous prime is 14468730541. The next prime is 14468730607. The reversal of 14468730552 is 25503786441.

14468730552 is a `hidden beast` number, since 1 + 4 + 4 + 68 + 7 + 30 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14468730498 and 14468730507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1266177 + ... + 1277552.

It is an arithmetic number, because the mean of its divisors is an integer number (826712250).

Almost surely, 214468730552 is an apocalyptic number.

14468730552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14468730552 is an abundant number, since it is smaller than the sum of its proper divisors (25213457448).

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

14468730552 is a wasteful number, since it uses less digits than its factorization.

14468730552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543820 (or 2543813 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 14468730552 in words is "fourteen billion, four hundred sixty-eight million, seven hundred thirty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 2543729 5087458 7631187 10174916 15262374 20349832 22893561 30524748 45787122 61049496 91574244 183148488 200954591 401909182 602863773 803818364 1205727546 1607636728 1808591319 2411455092 3617182638 4822910184 7234365276 14468730552