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4684216320 = 211325753137
BaseRepresentation
bin1000101110011001…
…10111100000000000
3110002110011211210100
410113030313200000
534043124410240
62052451002400
7224036116230
oct42714674000
913073154710
104684216320
111a94133063
12aa8899400
135985c5844
1432617dcc0
151c637ae30
hex117337800

4684216320 has 576 divisors, whose sum is σ = 19041946560. Its totient is φ = 1042808832.

The previous prime is 4684216307. The next prime is 4684216349. The reversal of 4684216320 is 236124864.

4684216320 is a `hidden beast` number, since 46 + 84 + 216 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 34191292 + ... + 34191428.

It is an arithmetic number, because the mean of its divisors is an integer number (33058935).

Almost surely, 24684216320 is an apocalyptic number.

4684216320 is a gapful number since it is divisible by the number (40) 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 4684216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520973280).

4684216320 is an abundant number, since it is smaller than the sum of its proper divisors (14357730240).

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

4684216320 is a wasteful number, since it uses less digits than its factorization.

4684216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4684216320 is about 68441.3348788581. The cubic root of 4684216320 is about 1673.1914921684.

The spelling of 4684216320 in words is "four billion, six hundred eighty-four million, two hundred sixteen thousand, three hundred twenty".