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8676336768 = 273112054057
BaseRepresentation
bin10000001010010011…
…00110010010000000
3211101200001120112020
420011021212102000
5120232120234033
63552540001440
7425002434321
oct100511462200
924350046466
108676336768
113752625260
121821830280
13a836b88a8
145c4442448
1535ba966b3
hex205266480

8676336768 has 64 divisors (see below), whose sum is σ = 25141669920. Its totient is φ = 2629191680.

The previous prime is 8676336763. The next prime is 8676336797.

8676336768 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (8676336763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1022805 + ... + 1031252.

Almost surely, 28676336768 is an apocalyptic number.

8676336768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8676336768 is an abundant number, since it is smaller than the sum of its proper divisors (16465333152).

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

8676336768 is a wasteful number, since it uses less digits than its factorization.

8676336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054085 (or 2054073 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The square root of 8676336768 is about 93146.8559211743. The cubic root of 8676336768 is about 2054.8437330633.

The spelling of 8676336768 in words is "eight billion, six hundred seventy-six million, three hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 2054057 4108114 6162171 8216228 12324342 16432456 22594627 24648684 32864912 45189254 49297368 65729824 67783881 90378508 98594736 131459648 135567762 180757016 197189472 262919296 271135524 361514032 394378944 542271048 723028064 788757888 1084542096 1446056128 2169084192 2892112256 4338168384 8676336768