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8168001696 = 2532171668301
BaseRepresentation
bin1111001101101100…
…11101000010100000
3210002020112110220100
413212312131002200
5113212002023241
63430300342400
7406260604011
oct74666350240
923066473810
108168001696
113511695628
1216bb544a00
13a022a59ca
14576b1b008
1532c1339b6
hex1e6d9d0a0

8168001696 has 72 divisors (see below), whose sum is σ = 24594108084. Its totient is φ = 2562508800.

The previous prime is 8168001689. The next prime is 8168001719. The reversal of 8168001696 is 6961008618.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8132432400 + 35569296 = 90180^2 + 5964^2 .

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

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, 829255 + ... + 839046.

Almost surely, 28168001696 is an apocalyptic number.

It is an amenable number.

8168001696 is an abundant number, since it is smaller than the sum of its proper divisors (16426106388).

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

8168001696 is a wasteful number, since it uses less digits than its factorization.

8168001696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668334 (or 1668323 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 8168001696 is about 90376.9976044790. The cubic root of 8168001696 is about 2013.9032669579.

The spelling of 8168001696 in words is "eight billion, one hundred sixty-eight million, one thousand, six hundred ninety-six".

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 1668301 3336602 5004903 6673204 10009806 13346408 15014709 20019612 26692816 28361117 30029418 40039224 53385632 56722234 60058836 80078448 85083351 113444468 120117672 160156896 170166702 226888936 240235344 255250053 340333404 453777872 480470688 510500106 680666808 907555744 1021000212 1361333616 2042000424 2722667232 4084000848 8168001696