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20647802880 = 2113351723191
BaseRepresentation
bin10011001110101101…
…000111100000000000
31222021222111001202000
4103032231013200000
5314241314143010
613252510024000
71330446300015
oct231655074000
958258431660
1020647802880
118836167a01
124002aa8000
131c4096c853
14ddc35370c
1580ca7c7c0
hex4ceb47800

20647802880 has 768 divisors, whose sum is σ = 81517363200. Its totient is φ = 4930928640.

The previous prime is 20647802869. The next prime is 20647802927. The reversal of 20647802880 is 8820874602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108103585 + ... + 108103775.

It is an arithmetic number, because the mean of its divisors is an integer number (106142400).

Almost surely, 220647802880 is an apocalyptic number.

20647802880 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 20647802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40758681600).

20647802880 is an abundant number, since it is smaller than the sum of its proper divisors (60869560320).

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

20647802880 is a wasteful number, since it uses less digits than its factorization.

20647802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 20647802880 in words is "twenty billion, six hundred forty-seven million, eight hundred two thousand, eight hundred eighty".