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20008608768 = 210331941929
BaseRepresentation
bin10010101000100110…
…110010010000000000
31220122102201122021000
4102220212302100000
5311434200440033
613105233532000
71305555240231
oct225046622000
956572648230
1020008608768
118538379a05
123a64a14000
131b6b400195
14d7b4c7088
157c18bba13
hex4a89b2400

20008608768 has 352 divisors, whose sum is σ = 63964656000. Its totient is φ = 6157762560.

The previous prime is 20008608709. The next prime is 20008608773. The reversal of 20008608768 is 86780680002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21537328 + ... + 21538256.

Almost surely, 220008608768 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 20008608768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31982328000).

20008608768 is an abundant number, since it is smaller than the sum of its proper divisors (43956047232).

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

20008608768 is a wasteful number, since it uses less digits than its factorization.

20008608768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 20008608768 in words is "twenty billion, eight million, six hundred eight thousand, seven hundred sixty-eight".