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664259616 = 2534298837
BaseRepresentation
bin100111100101111…
…100110000100000
31201021220212220000
4213211330300200
52330022301431
6145525220000
722314053646
oct4745746040
91637825800
10664259616
11310a59099
12166561600
13a7807637
1464313196
153d4b29e6
hex2797cc20

664259616 has 120 divisors (see below), whose sum is σ = 2021162220. Its totient is φ = 213760512.

The previous prime is 664259611. The next prime is 664259647. The reversal of 664259616 is 616952466.

664259616 is a `hidden beast` number, since 6 + 6 + 4 + 25 + 9 + 616 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 566249616 + 98010000 = 23796^2 + 9900^2 .

It is a super-3 number, since 3×6642596163 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (664259611) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70750 + ... + 79586.

Almost surely, 2664259616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664259616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010581110).

664259616 is an abundant number, since it is smaller than the sum of its proper divisors (1356902604).

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

664259616 is a wasteful number, since it uses less digits than its factorization.

664259616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8871 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 664259616 is about 25773.2344885154. The cubic root of 664259616 is about 872.5278206141.

The spelling of 664259616 in words is "six hundred sixty-four million, two hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 928 1044 1296 1392 1566 2088 2349 2592 2784 3132 4176 4698 6264 8352 8837 9396 12528 17674 18792 25056 26511 35348 37584 53022 70696 75168 79533 106044 141392 159066 212088 238599 256273 282784 318132 424176 477198 512546 636264 715797 768819 848352 954396 1025092 1272528 1431594 1537638 1908792 2050184 2306457 2545056 2863188 3075276 3817584 4100368 4612914 5726376 6150552 6919371 7635168 8200736 9225828 11452752 12301104 13838742 18451656 20758113 22905504 24602208 27677484 36903312 41516226 55354968 73806624 83032452 110709936 166064904 221419872 332129808 664259616