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664079616 = 2832436703
BaseRepresentation
bin100111100101010…
…000110100000000
31201021120201222100
4213211100310000
52330001021431
6145521310400
722312404114
oct4745206400
91637521870
10664079616
11310945932
12166495400
13a7773725
14642a7744
153d4794e6
hex27950d00

664079616 has 108 divisors (see below), whose sum is σ = 1959525568. Its totient is φ = 216179712.

The previous prime is 664079567. The next prime is 664079617. The reversal of 664079616 is 616970466.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664079617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95721 + ... + 102423.

Almost surely, 2664079616 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 664079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979762784).

664079616 is an abundant number, since it is smaller than the sum of its proper divisors (1295445952).

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

664079616 is a wasteful number, since it uses less digits than its factorization.

664079616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 664079616 is about 25769.7422571511. The cubic root of 664079616 is about 872.4490014334.

The spelling of 664079616 in words is "six hundred sixty-four million, seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 516 576 688 768 774 1032 1152 1376 1548 2064 2304 2752 3096 4128 5504 6192 6703 8256 11008 12384 13406 16512 20109 24768 26812 33024 40218 49536 53624 60327 80436 99072 107248 120654 160872 214496 241308 288229 321744 428992 482616 576458 643488 857984 864687 965232 1152916 1286976 1715968 1729374 1930464 2305832 2573952 2594061 3458748 3860928 4611664 5147904 5188122 6917496 7721856 9223328 10376244 13834992 15443712 18446656 20752488 27669984 36893312 41504976 55339968 73786624 83009952 110679936 166019904 221359872 332039808 664079616