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5699784373920 = 2534572131722389
BaseRepresentation
bin101001011110001010110…
…0111110111011010100000
3202011220010202212120210000
41102330111213313122200
51221341124244431140
620042240024140000
71125536653540200
oct122742547673240
922156122776700
105699784373920
1118a82a076008a
127807a6307600
133246449655c0
14159c2a19c400
159d3e78d4a30
hex52f159f76a0

5699784373920 has 2160 divisors, whose sum is σ = 26780355506520. Its totient is φ = 1131377393664.

The previous prime is 5699784373901. The next prime is 5699784373931. The reversal of 5699784373920 is 293734879965.

5699784373920 is a `hidden beast` number, since 5 + 6 + 9 + 97 + 84 + 373 + 92 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 428296949136 + 5271487424784 = 654444^2 + 2295972^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2385844086 + ... + 2385846474.

Almost surely, 25699784373920 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 5699784373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13390177753260).

5699784373920 is an abundant number, since it is smaller than the sum of its proper divisors (21080571132600).

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

5699784373920 is a wasteful number, since it uses less digits than its factorization.

5699784373920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 5699784373920 in words is "five trillion, six hundred ninety-nine billion, seven hundred eighty-four million, three hundred seventy-three thousand, nine hundred twenty".