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80380624896 = 216321113953
BaseRepresentation
bin100101011011100001…
…1110000000000000000
321200110212022211012100
41022313003300000000
52304104414444041
6100532031430400
75543623016115
oct1126703600000
9250425284170
1080380624896
11310a8849210
12136b3385400
13776cc51550
143c6753890c
152156b066b6
hex12b70f0000

80380624896 has 408 divisors, whose sum is σ = 273091147056. Its totient is φ = 22460497920.

The previous prime is 80380624853. The next prime is 80380624897. The reversal of 80380624896 is 69842608308.

80380624896 is a `hidden beast` number, since 8 + 0 + 3 + 8 + 0 + 624 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×803806248962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80380624897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84344356 + ... + 84345308.

Almost surely, 280380624896 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 80380624896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136545573528).

80380624896 is an abundant number, since it is smaller than the sum of its proper divisors (192710522160).

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

80380624896 is a wasteful number, since it uses less digits than its factorization.

80380624896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 80380624896 in words is "eighty billion, three hundred eighty million, six hundred twenty-four thousand, eight hundred ninety-six".