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6394952016 = 24321723532143
BaseRepresentation
bin1011111010010101…
…10011100101010000
3121111200020012222200
411331022303211100
5101044101431031
62534322003200
7314321123655
oct57512634520
917450205880
106394952016
112791869112
1212a57a6500
137abb6079b
1444945bc2c
152766508e6
hex17d2b3950

6394952016 has 240 divisors, whose sum is σ = 20156138496. Its totient is φ = 1881944064.

The previous prime is 6394951991. The next prime is 6394952063. The reversal of 6394952016 is 6102594936.

6394952016 is a `hidden beast` number, since 639 + 4 + 9 + 5 + 2 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×63949520162 = 81790822573884928512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2983041 + ... + 2985183.

Almost surely, 26394952016 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 6394952016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10078069248).

6394952016 is an abundant number, since it is smaller than the sum of its proper divisors (13761186480).

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

6394952016 is a wasteful number, since it uses less digits than its factorization.

6394952016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6394952016 is about 79968.4438763191. The cubic root of 6394952016 is about 1856.1472661709.

The spelling of 6394952016 in words is "six billion, three hundred ninety-four million, nine hundred fifty-two thousand, sixteen".