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2858535680 = 285711132397
BaseRepresentation
bin1010101001100001…
…1100101100000000
321101012211122202212
42222120130230000
521323241120210
61151352201252
7130560103160
oct25230345400
97335748685
102858535680
111237629190
12679399228
133672b3840
141d19005a0
1511ae4d805
hexaa61cb00

2858535680 has 576 divisors, whose sum is σ = 9691895808. Its totient is φ = 778567680.

The previous prime is 2858535661. The next prime is 2858535683. The reversal of 2858535680 is 865358582.

It is not an unprimeable number, because it can be changed into a prime (2858535683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29469392 + ... + 29469488.

It is an arithmetic number, because the mean of its divisors is an integer number (16826208).

Almost surely, 22858535680 is an apocalyptic number.

2858535680 is a gapful number since it is divisible by the number (20) 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 2858535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845947904).

2858535680 is an abundant number, since it is smaller than the sum of its proper divisors (6833360128).

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

2858535680 is a wasteful number, since it uses less digits than its factorization.

2858535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 50.

The square root of 2858535680 is about 53465.2754598721. The cubic root of 2858535680 is about 1419.2139536409.

The spelling of 2858535680 in words is "two billion, eight hundred fifty-eight million, five hundred thirty-five thousand, six hundred eighty".