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10018608768 = 27347316173
BaseRepresentation
bin10010101010010011…
…11101011010000000
3221212012210001120000
421111021331122000
5131004230440033
64334045320000
7503161524630
oct112511753200
927765701500
1010018608768
114281275063
121b37266000
13c3880458c
146b08086c0
153d9836a13
hex25527d680

10018608768 has 640 divisors, whose sum is σ = 36240061440. Its totient is φ = 2687385600.

The previous prime is 10018608767. The next prime is 10018608773. The reversal of 10018608768 is 86780681001.

It is not an unprimeable number, because it can be changed into a prime (10018608767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137241180 + ... + 137241252.

It is an arithmetic number, because the mean of its divisors is an integer number (56625096).

Almost surely, 210018608768 is an apocalyptic number.

10018608768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10018608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120030720).

10018608768 is an abundant number, since it is smaller than the sum of its proper divisors (26221452672).

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

10018608768 is an equidigital number, since it uses as much as digits as its factorization.

10018608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10018608768 in words is "ten billion, eighteen million, six hundred eight thousand, seven hundred sixty-eight".