Search a number
-
+
83335091840 = 27572111318583
BaseRepresentation
bin100110110011100101…
…0001001011010000000
321222002202200021220222
41031213022021122000
52331132240414330
6102141132122212
76010056410300
oct1154712113200
9258082607828
1083335091840
1132384539a30
1214198906368
137b21082940
144067a8b600
15227b1a40e5
hex1367289680

83335091840 has 384 divisors, whose sum is σ = 272279387520. Its totient is φ = 23975239680.

The previous prime is 83335091831. The next prime is 83335091869. The reversal of 83335091840 is 4819053338.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 83335091791 and 83335091800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4475189 + ... + 4493771.

It is an arithmetic number, because the mean of its divisors is an integer number (709060905).

Almost surely, 283335091840 is an apocalyptic number.

83335091840 is a gapful number since it is divisible by the number (80) 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 83335091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136139693760).

83335091840 is an abundant number, since it is smaller than the sum of its proper divisors (188944295680).

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

83335091840 is a wasteful number, since it uses less digits than its factorization.

83335091840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18640 (or 18621 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 83335091840 in words is "eighty-three billion, three hundred thirty-five million, ninety-one thousand, eight hundred forty".