Search a number
-
+
83244091392 = 21134741119
BaseRepresentation
bin100110110000110111…
…1000000100000000000
321221212102102222210000
41031201233000200000
52330440441411032
6102124121440000
76004603050000
oct1154157004000
9257772388700
1083244091392
1132338134a50
1214172340000
137b08270517
144059960000
1522731cae7c
hex1361bc0800

83244091392 has 1200 divisors, whose sum is σ = 333091558800. Its totient is φ = 20483850240.

The previous prime is 83244091321. The next prime is 83244091397. The reversal of 83244091392 is 29319044238.

83244091392 is a `hidden beast` number, since 8 + 32 + 440 + 91 + 3 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (83244091397) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 4381267959 + ... + 4381267977.

It is an arithmetic number, because the mean of its divisors is an integer number (277576299).

Almost surely, 283244091392 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 83244091392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166545779400).

83244091392 is an abundant number, since it is smaller than the sum of its proper divisors (249847467408).

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

83244091392 is an equidigital number, since it uses as much as digits as its factorization.

83244091392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 83244091392 in words is "eighty-three billion, two hundred forty-four million, ninety-one thousand, three hundred ninety-two".