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80895343304160 = 253357113141191339
BaseRepresentation
bin10010011001001011101010…
…001100111001110111100000
3101121102112000120020110002000
4102121023222030321313200
541100342130341213120
6444014450242524000
723016332006462220
oct2231135214716740
9347375016213060
1080895343304160
11238595823a3480
1290a6086966600
13361a52393cca8
1415d94d9722080
15954418223990
hex4992ea339de0

80895343304160 has 1536 divisors, whose sum is σ = 373274276659200. Its totient is φ = 15870339072000.

The previous prime is 80895343304089. The next prime is 80895343304173. The reversal of 80895343304160 is 6140334359808.

80895343304160 is a `hidden beast` number, since 8 + 0 + 8 + 9 + 534 + 3 + 3 + 0 + 41 + 60 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 80895343304097 and 80895343304106.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 422689771 + ... + 422881109.

It is an arithmetic number, because the mean of its divisors is an integer number (243017107200).

Almost surely, 280895343304160 is an apocalyptic number.

80895343304160 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 80895343304160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186637138329600).

80895343304160 is an abundant number, since it is smaller than the sum of its proper divisors (292378933355040).

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

80895343304160 is a wasteful number, since it uses less digits than its factorization.

80895343304160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191453 (or 191439 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 80895343304160 in words is "eighty trillion, eight hundred ninety-five billion, three hundred forty-three million, three hundred four thousand, one hundred sixty".