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809114438779920 = 2432571338339238219
BaseRepresentation
bin1011011111111000101010001…
…0101101001100010000010000
310221002211120210102002102100100
42313332022202231030100100
51322023012332311424140
611544502013004452400
7332266406032126110
oct26776124255142020
93832746712072310
10809114438779920
11214899563137589
12768b797054a100
1328962219945780
14103b34c248d040
156381dcb57a530
hex2dfe2a2b4c410

809114438779920 has 960 divisors, whose sum is σ = 3354334428856320. Its totient is φ = 170204412284928.

The previous prime is 809114438779861. The next prime is 809114438779991. The reversal of 809114438779920 is 29977834411908.

809114438779920 is a `hidden beast` number, since 8 + 0 + 9 + 1 + 1 + 443 + 8 + 77 + 99 + 20 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98444385571 + ... + 98444393789.

It is an arithmetic number, because the mean of its divisors is an integer number (3494098363392).

Almost surely, 2809114438779920 is an apocalyptic number.

809114438779920 is a gapful number since it is divisible by the number (80) 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 809114438779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677167214428160).

809114438779920 is an abundant number, since it is smaller than the sum of its proper divisors (2545219990076400).

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

809114438779920 is a wasteful number, since it uses less digits than its factorization.

809114438779920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12564 (or 12555 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 809114438779920 in words is "eight hundred nine trillion, one hundred fourteen billion, four hundred thirty-eight million, seven hundred seventy-nine thousand, nine hundred twenty".