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9982207920 = 24352397103181
BaseRepresentation
bin10010100101111110…
…00110011110110000
3221202200021200222110
421102333012132300
5130420421123140
64330305205320
7502240236666
oct112277063660
927680250873
109982207920
114262772613
121b27030840
13c310cb009
146a9a50c36
153d6546380
hex252fc67b0

9982207920 has 320 divisors, whose sum is σ = 33121880064. Its totient is φ = 2481684480.

The previous prime is 9982207919. The next prime is 9982207957. The reversal of 9982207920 is 297022899.

It is a happy number.

It is a Cunningham number, because it is equal to 999112-1.

It is a super-3 number, since 3×99822079203 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9982207920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55150230 + ... + 55150410.

Almost surely, 29982207920 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 9982207920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16560940032).

9982207920 is an abundant number, since it is smaller than the sum of its proper divisors (23139672144).

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

9982207920 is a wasteful number, since it uses less digits than its factorization.

9982207920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 9982207920 is about 99910.9999949955. Note that the first 5 decimals coincide. The cubic root of 9982207920 is about 2153.1562023547.

The spelling of 9982207920 in words is "nine billion, nine hundred eighty-two million, two hundred seven thousand, nine hundred twenty".