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6382223640 = 23325131797827
BaseRepresentation
bin1011111000110100…
…10000000100011000
3121110210021112221100
411330122100010120
5101032322124030
62533145111400
7314105002002
oct57432200430
917423245840
106382223640
1127856650a1
1212a1488560
137a93250c0
144478a7372
15275489360
hex17c690118

6382223640 has 384 divisors, whose sum is σ = 23924496960. Its totient is φ = 1461583872.

The previous prime is 6382223599. The next prime is 6382223689. The reversal of 6382223640 is 463222836.

6382223640 is a `hidden beast` number, since 6 + 3 + 8 + 2 + 2 + 2 + 3 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6382223595 and 6382223604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7716907 + ... + 7717733.

Almost surely, 26382223640 is an apocalyptic number.

6382223640 is a gapful number since it is divisible by the number (60) 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 6382223640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11962248480).

6382223640 is an abundant number, since it is smaller than the sum of its proper divisors (17542273320).

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

6382223640 is a wasteful number, since it uses less digits than its factorization.

6382223640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6382223640 is about 79888.8204944847. The cubic root of 6382223640 is about 1854.9149695962.

The spelling of 6382223640 in words is "six billion, three hundred eighty-two million, two hundred twenty-three thousand, six hundred forty".