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664538688 = 26331134961
BaseRepresentation
bin100111100111000…
…000111001000000
31201022110001201000
4213213000321000
52330110214223
6145535212000
722316325402
oct4747007100
91638401630
10664538688
11311129830
12166677000
13a78a4678
1464386b72
153d51a543
hex279c0e40

664538688 has 112 divisors (see below), whose sum is σ = 2131283520. Its totient is φ = 201369600.

The previous prime is 664538681. The next prime is 664538689. The reversal of 664538688 is 886835466.

It is a super-2 number, since 2×6645386882 = 883223335697522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (664538681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528 + ... + 36488.

Almost surely, 2664538688 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 664538688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065641760).

664538688 is an abundant number, since it is smaller than the sum of its proper divisors (1466744832).

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

664538688 is a wasteful number, since it uses less digits than its factorization.

664538688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34993 (or 34977 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 664538688 is about 25778.6479086860. The cubic root of 664538688 is about 872.6499937254.

The spelling of 664538688 in words is "six hundred sixty-four million, five hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 34961 69922 104883 139844 209766 279688 314649 384571 419532 559376 629298 769142 839064 943947 1118752 1153713 1258596 1538284 1678128 1887894 2237504 2307426 2517192 3076568 3356256 3461139 3775788 4614852 5034384 6153136 6712512 6922278 7551576 9229704 10068768 10383417 12306272 13844556 15103152 18459408 20137536 20766834 24612544 27689112 30206304 36918816 41533668 55378224 60412608 73837632 83067336 110756448 166134672 221512896 332269344 664538688