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6858000000 = 273356127
BaseRepresentation
bin1100110001100010…
…01100011010000000
3122200221112111102000
412120301030122000
5103021122000000
63052302424000
7331643016045
oct63061143200
918627474360
106858000000
1129aa1869a5
1213b4892000
13853a78487
14490b551cc
152a211a000
hex198c4c680

6858000000 has 448 divisors, whose sum is σ = 25499673600. Its totient is φ = 1814400000.

The previous prime is 6857999977. The next prime is 6858000029. The reversal of 6858000000 is 8586.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53999937 + ... + 54000063.

Almost surely, 26858000000 is an apocalyptic number.

6858000000 is a gapful number since it is divisible by the number (60) 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 6858000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749836800).

6858000000 is an abundant number, since it is smaller than the sum of its proper divisors (18641673600).

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

6858000000 is an frugal number, since it uses more digits than its factorization.

6858000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6858000000 is about 82813.0424510536. The cubic root of 6858000000 is about 1899.9076594089.

Adding to 6858000000 its reverse (8586), we get a palindrome (6858008586).

The spelling of 6858000000 in words is "six billion, eight hundred fifty-eight million", and thus it is an aban number.