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6682363128 = 23327175913219
BaseRepresentation
bin1100011100100110…
…01100010011111000
3122020201001012220200
412032103030103320
5102141141110003
63023030122200
7324411102150
oct61623142370
918221035820
106682363128
11291a024361
121365ab0360
1382657152c
144756b5760
152919c46a3
hex18e4cc4f8

6682363128 has 192 divisors, whose sum is σ = 22273056000. Its totient is φ = 1766347776.

The previous prime is 6682363109. The next prime is 6682363169. The reversal of 6682363128 is 8213632866.

It is a happy number.

6682363128 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 3 + 631 + 2 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 498903 + ... + 512121.

It is an arithmetic number, because the mean of its divisors is an integer number (116005500).

Almost surely, 26682363128 is an apocalyptic number.

6682363128 is a gapful number since it is divisible by the number (68) 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 6682363128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136528000).

6682363128 is an abundant number, since it is smaller than the sum of its proper divisors (15590692872).

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

6682363128 is a wasteful number, since it uses less digits than its factorization.

6682363128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13314 (or 13307 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 6682363128 is about 81745.7223834985. The cubic root of 6682363128 is about 1883.5479935830.

The spelling of 6682363128 in words is "six billion, six hundred eighty-two million, three hundred sixty-three thousand, one hundred twenty-eight".