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9820087992 = 233211213312797
BaseRepresentation
bin10010010010101001…
…01010011010111000
3221100101020011020200
421021110222122320
5130102420303432
64302234322200
7465231241101
oct111124523270
927311204220
109820087992
11418a202500
121aa0889360
13c06647670
146922cd3a8
153c71c0a7c
hex24952a6b8

9820087992 has 288 divisors, whose sum is σ = 32509626240. Its totient is φ = 2657318400.

The previous prime is 9820087951. The next prime is 9820087997. The reversal of 9820087992 is 2997800289.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9820087997) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3509538 + ... + 3512334.

Almost surely, 29820087992 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 9820087992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254813120).

9820087992 is an abundant number, since it is smaller than the sum of its proper divisors (22689538248).

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

9820087992 is a wasteful number, since it uses less digits than its factorization.

9820087992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 9820087992 is about 99096.3571076152. The cubic root of 9820087992 is about 2141.4361332812.

The spelling of 9820087992 in words is "nine billion, eight hundred twenty million, eighty-seven thousand, nine hundred ninety-two".