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80805093768 = 233271931272203
BaseRepresentation
bin100101101000001011…
…0111110000110001000
321201120110001002000200
41023100112332012020
52310442101000033
6101042113332200
75560265651520
oct1132026760610
9251513032020
1080805093768
11312a6406a33
12137b1567060
137809b7c369
143ca7a6c680
15217e000013
hex12d05be188

80805093768 has 192 divisors, whose sum is σ = 271768473600. Its totient is φ = 21166427520.

The previous prime is 80805093713. The next prime is 80805093769. The reversal of 80805093768 is 86739050808.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80805093769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160755 + ... + 432957.

It is an arithmetic number, because the mean of its divisors is an integer number (1415460800).

Almost surely, 280805093768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80805093768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135884236800).

80805093768 is an abundant number, since it is smaller than the sum of its proper divisors (190963379832).

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

80805093768 is a wasteful number, since it uses less digits than its factorization.

80805093768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272272 (or 272265 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 80805093768 in words is "eighty billion, eight hundred five million, ninety-three thousand, seven hundred sixty-eight".