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7116484320 = 253251134779
BaseRepresentation
bin1101010000010110…
…01110111011100000
3200100221220212020100
412220023032323200
5104033304444240
63134054542400
7341232055461
oct65013167340
920327825210
107116484320
113022085000
121467367a00
1389549b88a
144b71dcd68
152b9b77e30
hex1a82ceee0

7116484320 has 576 divisors, whose sum is σ = 27625328640. Its totient is φ = 1667128320.

The previous prime is 7116484313. The next prime is 7116484337. The reversal of 7116484320 is 234846117.

7116484320 is a `hidden beast` number, since 7 + 1 + 1 + 648 + 4 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90082041 + ... + 90082119.

It is an arithmetic number, because the mean of its divisors is an integer number (47960640).

Almost surely, 27116484320 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 7116484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812664320).

7116484320 is an abundant number, since it is smaller than the sum of its proper divisors (20508844320).

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

7116484320 is a wasteful number, since it uses less digits than its factorization.

7116484320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7116484320 is about 84359.2574647264. The cubic root of 7116484320 is about 1923.4836493995.

The spelling of 7116484320 in words is "seven billion, one hundred sixteen million, four hundred eighty-four thousand, three hundred twenty".