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2385282816 = 2834716433
BaseRepresentation
bin1000111000101100…
…1000011100000000
320011020022220220000
42032023020130000
514341113022231
61032404520000
7113052366210
oct21613103400
96136286800
102385282816
111014480314
125669b0000
132c0234c67
14188b0c240
15de61a6e6
hex8e2c8700

2385282816 has 180 divisors, whose sum is σ = 8129045232. Its totient is φ = 681467904.

The previous prime is 2385282773. The next prime is 2385282833. The reversal of 2385282816 is 6182825832.

It is a super-2 number, since 2×23852828162 = 11379148224609779712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136936 + ... + 153368.

Almost surely, 22385282816 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 2385282816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064522616).

2385282816 is an abundant number, since it is smaller than the sum of its proper divisors (5743762416).

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

2385282816 is an equidigital number, since it uses as much as digits as its factorization.

2385282816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16468 (or 16445 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2385282816 is about 48839.3572439278. The cubic root of 2385282816 is about 1336.1235737347.

The spelling of 2385282816 in words is "two billion, three hundred eighty-five million, two hundred eighty-two thousand, eight hundred sixteen".