Search a number
-
+
96181497720 = 2332571117533851
BaseRepresentation
bin101100110010011011…
…1010010111101111000
3100012021001110022212100
41121210313102331320
53033434430411340
6112103555143400
76643316145540
oct1314467227570
9305231408770
1096181497720
1137876a478a0
1216782ba4b60
1390ba697839
144925c74320
15277ddb6830
hex1664dd2f78

96181497720 has 768 divisors, whose sum is σ = 420542254080. Its totient is φ = 18450432000.

The previous prime is 96181497707. The next prime is 96181497739. The reversal of 96181497720 is 2779418169.

96181497720 is a `hidden beast` number, since 9 + 6 + 1 + 81 + 497 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24973795 + ... + 24977645.

It is an arithmetic number, because the mean of its divisors is an integer number (547581060).

Almost surely, 296181497720 is an apocalyptic number.

96181497720 is a gapful number since it is divisible by the number (90) 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 96181497720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210271127040).

96181497720 is an abundant number, since it is smaller than the sum of its proper divisors (324360756360).

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

96181497720 is a wasteful number, since it uses less digits than its factorization.

96181497720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 96181497720 in words is "ninety-six billion, one hundred eighty-one million, four hundred ninety-seven thousand, seven hundred twenty".