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2059932384 = 2536227389
BaseRepresentation
bin111101011001000…
…0001001011100000
312022120010102000000
41322302001023200
513204320314014
6540223300000
7102022064526
oct17262011340
95276112000
102059932384
11967861764
12495a4a600
1326a9cc603
1415781a316
15c0ca0509
hex7ac812e0

2059932384 has 168 divisors, whose sum is σ = 6122942280. Its totient is φ = 681861888.

The previous prime is 2059932311. The next prime is 2059932389. The reversal of 2059932384 is 4832399502.

It is a happy number.

2059932384 is a `hidden beast` number, since 20 + 599 + 3 + 2 + 38 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059932389) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 5295262 + ... + 5295650.

It is an arithmetic number, because the mean of its divisors is an integer number (36446085).

Almost surely, 22059932384 is an apocalyptic number.

2059932384 is a gapful number since it is divisible by the number (24) 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 2059932384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061471140).

2059932384 is an abundant number, since it is smaller than the sum of its proper divisors (4063009896).

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

2059932384 is an equidigital number, since it uses as much as digits as its factorization.

2059932384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2059932384 is about 45386.4779862901. The cubic root of 2059932384 is about 1272.3824054946.

The spelling of 2059932384 in words is "two billion, fifty-nine million, nine hundred thirty-two thousand, three hundred eighty-four".