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20793044160 = 26325743197
BaseRepresentation
bin10011010111010111…
…001010110011000000
31222200002210002022200
4103113113022303000
5320041004403120
613315135033200
71334161650000
oct232727126300
958602702280
1020793044160
118900149919
12404366b800
131c64a93735
141013760000
1581a6bbe90
hex4d75cacc0

20793044160 has 840 divisors, whose sum is σ = 87013670016. Its totient is φ = 4551966720.

The previous prime is 20793044119. The next prime is 20793044161. The reversal of 20793044160 is 6144039702.

20793044160 is a `hidden beast` number, since 207 + 9 + 3 + 0 + 441 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20793044161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 214361232 + ... + 214361328.

Almost surely, 220793044160 is an apocalyptic number.

20793044160 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 20793044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43506835008).

20793044160 is an abundant number, since it is smaller than the sum of its proper divisors (66220625856).

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

20793044160 is an equidigital number, since it uses as much as digits as its factorization.

20793044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20793044160 in words is "twenty billion, seven hundred ninety-three million, forty-four thousand, one hundred sixty".