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663708672 = 21032116547
BaseRepresentation
bin100111100011110…
…110010000000000
31201020212220010200
4213203312100000
52324402134142
6145505325200
722306300464
oct4743662000
91636786120
10663708672
11310712170
12166336800
13a7673933
146420c4a4
153d40464c
hex278f6400

663708672 has 132 divisors (see below), whose sum is σ = 2090985936. Its totient is φ = 201093120.

The previous prime is 663708637. The next prime is 663708691. The reversal of 663708672 is 276807366.

663708672 is a `hidden beast` number, since 6 + 637 + 0 + 8 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

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, 98103 + ... + 104649.

Almost surely, 2663708672 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 663708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045492968).

663708672 is an abundant number, since it is smaller than the sum of its proper divisors (1427277264).

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

663708672 is a wasteful number, since it uses less digits than its factorization.

663708672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584 (or 6563 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 663708672 is about 25762.5439737616. The cubic root of 663708672 is about 872.2865259353.

The spelling of 663708672 in words is "six hundred sixty-three million, seven hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 6547 8448 9216 11264 12672 13094 16896 19641 25344 26188 33792 39282 50688 52376 58923 72017 78564 101376 104752 117846 144034 157128 209504 216051 235692 288068 314256 419008 432102 471384 576136 628512 648153 838016 864204 942768 1152272 1257024 1296306 1676032 1728408 1885536 2304544 2514048 2592612 3352064 3456816 3771072 4609088 5028096 5185224 6704128 6913632 7542144 9218176 10056192 10370448 13827264 15084288 18436352 20112384 20740896 27654528 30168576 36872704 41481792 55309056 60337152 73745408 82963584 110618112 165927168 221236224 331854336 663708672