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8108142336 = 283371131483
BaseRepresentation
bin1111000110100100…
…00110111100000000
3202221001220022022000
413203102012330000
5113101141023321
63420321344000
7404633033640
oct74322067400
922831808260
108108142336
113490920388
1216a3498000
139c2a77a78
1456cbb8520
15326c5c826
hex1e3486f00

8108142336 has 288 divisors, whose sum is σ = 27663659520. Its totient is φ = 2294562816.

The previous prime is 8108142311. The next prime is 8108142353. The reversal of 8108142336 is 6332418018.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8108142336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5466651 + ... + 5468133.

Almost surely, 28108142336 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 8108142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13831829760).

8108142336 is an abundant number, since it is smaller than the sum of its proper divisors (19555517184).

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

8108142336 is a wasteful number, since it uses less digits than its factorization.

8108142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8108142336 is about 90045.2238378027. The cubic root of 8108142336 is about 2008.9715567423.

The spelling of 8108142336 in words is "eight billion, one hundred eight million, one hundred forty-two thousand, three hundred thirty-six".