Search a number
-
+
83335996080 = 24325173809827
BaseRepresentation
bin100110110011100110…
…1100110001010110000
321222002211101020022100
41031213031212022300
52331133003333310
6102141203340400
76010100164461
oct1154715461260
9258084336270
1083335996080
1132384aa7337
1214199081700
137b2130b3ac
144067c44d68
15227b2d1ec0
hex13673662b0

83335996080 has 240 divisors, whose sum is σ = 282176537760. Its totient is φ = 22040481792.

The previous prime is 83335996067. The next prime is 83335996087. The reversal of 83335996080 is 8069953338.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (83335996087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100768627 + ... + 100769453.

It is an arithmetic number, because the mean of its divisors is an integer number (1175735574).

Almost surely, 283335996080 is an apocalyptic number.

83335996080 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 83335996080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141088268880).

83335996080 is an abundant number, since it is smaller than the sum of its proper divisors (198840541680).

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

83335996080 is a wasteful number, since it uses less digits than its factorization.

83335996080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 83335996080 in words is "eighty-three billion, three hundred thirty-five million, nine hundred ninety-six thousand, eighty".