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8990673120 = 25325111343661
BaseRepresentation
bin10000101111110001…
…01100100011100000
3212012120112111221100
420113320230203200
5121403103014440
64044045154400
7435540313662
oct102770544340
925176474840
108990673120
1138a4000870
1218aab5ba00
13b03865c30
146140a8532
15379488230
hex217e2c8e0

8990673120 has 288 divisors, whose sum is σ = 36045251424. Its totient is φ = 2011852800.

The previous prime is 8990673101. The next prime is 8990673163. The reversal of 8990673120 is 213760998.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184090 + ... + 227750.

It is an arithmetic number, because the mean of its divisors is an integer number (125157123).

Almost surely, 28990673120 is an apocalyptic number.

8990673120 is a gapful number since it is divisible by the number (80) 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 8990673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18022625712).

8990673120 is an abundant number, since it is smaller than the sum of its proper divisors (27054578304).

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

8990673120 is a wasteful number, since it uses less digits than its factorization.

8990673120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43706 (or 43695 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 8990673120 is about 94819.1600890875. The cubic root of 8990673120 is about 2079.3650305392.

The spelling of 8990673120 in words is "eight billion, nine hundred ninety million, six hundred seventy-three thousand, one hundred twenty".