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6082381536 = 25371121931127
BaseRepresentation
bin1011010101000100…
…11100011011100000
3120200220001222220020
411222202130123200
544424042202121
62443314313440
7303504250530
oct55242343340
916626058806
106082381536
112641389300
121218b88880
1375c18113a
14419b354c0
15258eac1c6
hex16a89c6e0

6082381536 has 576 divisors, whose sum is σ = 21965045760. Its totient is φ = 1437004800.

The previous prime is 6082381523. The next prime is 6082381559. The reversal of 6082381536 is 6351832806.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47892705 + ... + 47892831.

It is an arithmetic number, because the mean of its divisors is an integer number (38133760).

Almost surely, 26082381536 is an apocalyptic number.

6082381536 is a gapful number since it is divisible by the number (66) 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 6082381536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10982522880).

6082381536 is an abundant number, since it is smaller than the sum of its proper divisors (15882664224).

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

6082381536 is a wasteful number, since it uses less digits than its factorization.

6082381536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6082381536 is about 77989.6245407041. The cubic root of 6082381536 is about 1825.3993282418.

The spelling of 6082381536 in words is "six billion, eighty-two million, three hundred eighty-one thousand, five hundred thirty-six".