Search a number
-
+
83308500000 = 25345611217
BaseRepresentation
bin100110110010110010…
…0101101010000100000
321222000220122021210000
41031211210231100200
52331103434000000
6102134342140000
76006314365125
oct1154544552040
9258026567700
1083308500000
1132370527100
121418ba21600
137b1870201b
14406432874c
152278ba0000
hex136592d420

83308500000 has 1260 divisors, whose sum is σ = 356430242322. Its totient is φ = 19008000000.

The previous prime is 83308499993. The next prime is 83308500029. The reversal of 83308500000 is 580338.

It can be written as a sum of positive squares in 7 ways, for example, as 32180054544 + 51128445456 = 179388^2 + 226116^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 4900499992 + ... + 4900500008.

Almost surely, 283308500000 is an apocalyptic number.

83308500000 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 83308500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178215121161).

83308500000 is an abundant number, since it is smaller than the sum of its proper divisors (273121742322).

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

83308500000 is an equidigital number, since it uses as much as digits as its factorization.

83308500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 83308500000 in words is "eighty-three billion, three hundred eight million, five hundred thousand".