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1868334336 = 2834118191
BaseRepresentation
bin110111101011100…
…1000010100000000
311211012121012220000
41233113020110000
512311243144321
6505220520000
764204402611
oct15727102400
94735535800
101868334336
11879698270
12441850000
1323a0c769b
1413a1c3c08
15ae055826
hex6f5c8500

1868334336 has 180 divisors, whose sum is σ = 6078234624. Its totient is φ = 566092800.

The previous prime is 1868334331. The next prime is 1868334341. The reversal of 1868334336 is 6334338681.

1868334336 is a `hidden beast` number, since 186 + 8 + 33 + 433 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1868334331) and next prime (1868334341).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1868334291 and 1868334300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868334331) 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 19 ways as a sum of consecutive naturals, for example, 224001 + ... + 232191.

Almost surely, 21868334336 is an apocalyptic number.

1868334336 is a gapful number since it is divisible by the number (16) 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 1868334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039117312).

1868334336 is an abundant number, since it is smaller than the sum of its proper divisors (4209900288).

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

1868334336 is an equidigital number, since it uses as much as digits as its factorization.

1868334336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 8207 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 1868334336 is about 43224.2332031466. The cubic root of 1868334336 is about 1231.6430629551.

The spelling of 1868334336 in words is "one billion, eight hundred sixty-eight million, three hundred thirty-four thousand, three hundred thirty-six".