Search a number
-
+
96513324732 = 2232111737439011
BaseRepresentation
bin101100111100010100…
…1000111011010111100
3100020010011211212221200
41121320221013122330
53040124402342412
6112200531255500
76654455503326
oct1317051073274
9306104755850
1096513324732
1137a2728a3a0
121685614a590
13914135a096
144957d70616
15279d0b09dc
hex1678a476bc

96513324732 has 288 divisors, whose sum is σ = 296177865984. Its totient is φ = 26156390400.

The previous prime is 96513324683. The next prime is 96513324737. The reversal of 96513324732 is 23742331569.

96513324732 is a `hidden beast` number, since 96 + 513 + 3 + 2 + 47 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96513324737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10706107 + ... + 10715117.

It is an arithmetic number, because the mean of its divisors is an integer number (1028395368).

Almost surely, 296513324732 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 96513324732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148088932992).

96513324732 is an abundant number, since it is smaller than the sum of its proper divisors (199664541252).

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

96513324732 is a wasteful number, since it uses less digits than its factorization.

96513324732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9129 (or 9124 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 96513324732 in words is "ninety-six billion, five hundred thirteen million, three hundred twenty-four thousand, seven hundred thirty-two".