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20455182720 = 27345756369
BaseRepresentation
bin10011000011001110…
…010101000110000000
31221210120000221120000
4103003032111012000
5313343011321340
613221425320000
71322620120140
oct230316250600
957716027500
1020455182720
118747465595
123b6a496000
131c0ca9a61b
14dc0932920
157eabced30
hex4c3395180

20455182720 has 320 divisors, whose sum is σ = 83486224800. Its totient is φ = 4675387392.

The previous prime is 20455182703. The next prime is 20455182739. The reversal of 20455182720 is 2728155402.

It is a happy number.

20455182720 is a `hidden beast` number, since 2 + 0 + 4 + 551 + 82 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 334696 + ... + 391064.

Almost surely, 220455182720 is an apocalyptic number.

20455182720 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 20455182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41743112400).

20455182720 is an abundant number, since it is smaller than the sum of its proper divisors (63031042080).

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

20455182720 is an equidigital number, since it uses as much as digits as its factorization.

20455182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56407 (or 56386 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 20455182720 in words is "twenty billion, four hundred fifty-five million, one hundred eighty-two thousand, seven hundred twenty".