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632666016 = 253217129221
BaseRepresentation
bin100101101101011…
…011011110100000
31122002110202121200
4211231123132200
52243430303031
6142440121200
721451400223
oct4555333640
91562422550
10632666016
112a513a384
12157a66200
13a10c51b8
146004b5ba
153a8218e6
hex25b5b7a0

632666016 has 72 divisors (see below), whose sum is σ = 1904990724. Its totient is φ = 198481920.

The previous prime is 632666003. The next prime is 632666051. The reversal of 632666016 is 610666236.

It can be written as a sum of positive squares in 2 ways, for example, as 632019600 + 646416 = 25140^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 59715 + ... + 69506.

Almost surely, 2632666016 is an apocalyptic number.

It is an amenable number.

632666016 is an abundant number, since it is smaller than the sum of its proper divisors (1272324708).

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

632666016 is a wasteful number, since it uses less digits than its factorization.

632666016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129254 (or 129243 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 632666016 is about 25152.8530389696. The cubic root of 632666016 is about 858.4694319353.

The spelling of 632666016 in words is "six hundred thirty-two million, six hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 129221 258442 387663 516884 775326 1033768 1162989 1550652 2067536 2196757 2325978 3101304 4135072 4393514 4651956 6202608 6590271 8787028 9303912 12405216 13180542 17574056 18607824 19770813 26361084 35148112 37215648 39541626 52722168 70296224 79083252 105444336 158166504 210888672 316333008 632666016