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8483935680 = 2633511175989
BaseRepresentation
bin1111110011010111…
…01001010111000000
3210220021000120212000
413321223221113000
5114333341420210
63521504104000
7420145156233
oct77153512700
923807016760
108483935680
113663a624a0
121789305000
13a528922ac
145a6a7b41a
15349c3dac0
hex1f9ae95c0

8483935680 has 896 divisors, whose sum is σ = 35551872000. Its totient is φ = 1881538560.

The previous prime is 8483935667. The next prime is 8483935723. The reversal of 8483935680 is 865393848.

It is a happy number.

8483935680 is a `hidden beast` number, since 8 + 48 + 39 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95325076 + ... + 95325164.

Almost surely, 28483935680 is an apocalyptic number.

8483935680 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 8483935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17775936000).

8483935680 is an abundant number, since it is smaller than the sum of its proper divisors (27067936320).

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

8483935680 is a wasteful number, since it uses less digits than its factorization.

8483935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 8483935680 is about 92108.2823637484. The cubic root of 8483935680 is about 2039.5410732363.

The spelling of 8483935680 in words is "eight billion, four hundred eighty-three million, nine hundred thirty-five thousand, six hundred eighty".