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20104716800 = 295271767197
BaseRepresentation
bin10010101110010101…
…011010001000000000
31220220010120102200202
4102232111122020000
5312133301414200
613122545504332
71311133162460
oct225625321000
956803512622
1020104716800
118587652333
123a910420a8
131b852b033c
14d8a183ba0
157ca0531d5
hex4ae55a200

20104716800 has 480 divisors, whose sum is σ = 61485671808. Its totient is φ = 6358302720.

The previous prime is 20104716773. The next prime is 20104716809. The reversal of 20104716800 is 861740102.

It is not an unprimeable number, because it can be changed into a prime (20104716809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102054302 + ... + 102054498.

Almost surely, 220104716800 is an apocalyptic number.

20104716800 is a gapful number since it is divisible by the number (20) 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 20104716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30742835904).

20104716800 is an abundant number, since it is smaller than the sum of its proper divisors (41380955008).

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

20104716800 is a wasteful number, since it uses less digits than its factorization.

20104716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 20104716800 in words is "twenty billion, one hundred four million, seven hundred sixteen thousand, eight hundred".