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80365753800 = 23345237134077
BaseRepresentation
bin100101011011000101…
…1000001010111001000
321200102211100021220000
41022312023001113020
52304042113110200
6100530341003000
75543352431133
oct1126613012710
9250384307800
1080365753800
11310a0411352
12136aa3b3460
137769b45797
143c6558721a
15215566a300
hex12b62c15c8

80365753800 has 240 divisors, whose sum is σ = 286668149460. Its totient is φ = 20851499520.

The previous prime is 80365753729. The next prime is 80365753829. The reversal of 80365753800 is 835756308.

80365753800 is a `hidden beast` number, since 80 + 36 + 5 + 7 + 538 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 71574441156 + 8791312644 = 267534^2 + 93762^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 532362 + ... + 666438.

Almost surely, 280365753800 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 80365753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143334074730).

80365753800 is an abundant number, since it is smaller than the sum of its proper divisors (206302395660).

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

80365753800 is a wasteful number, since it uses less digits than its factorization.

80365753800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134142 (or 134124 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 80365753800 in words is "eighty billion, three hundred sixty-five million, seven hundred fifty-three thousand, eight hundred".