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999982000080 = 2432572412712551
BaseRepresentation
bin11101000110100111001…
…00100110011111010000
310112121010110112221020100
432203103210212133100
5112340430343000310
62043215124412400
7132150325520100
oct16432344463720
93477113487210
10999982000080
113560a9851328
12141977b47100
13733b46358bb
1436583cbd200
151b029dacec0
hexe8d39267d0

999982000080 has 720 divisors, whose sum is σ = 4018185819648. Its totient is φ = 222082560000.

The previous prime is 999982000067. The next prime is 999982000139. The reversal of 999982000080 is 80000289999.

999982000080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 9999912-1.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 999981999990 and 999982000026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 391994805 + ... + 391997355.

Almost surely, 2999982000080 is an apocalyptic number.

999982000080 is a gapful number since it is divisible by the number (90) 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 999982000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009092909824).

999982000080 is an abundant number, since it is smaller than the sum of its proper divisors (3018203819568).

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

999982000080 is a wasteful number, since it uses less digits than its factorization.

999982000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 999982000080 in words is "nine hundred ninety-nine billion, nine hundred eighty-two million, eighty", and thus it is an aban number.