Search a number
-
+
96955050528 = 25327537871153
BaseRepresentation
bin101101001001011111…
…0001010101000100000
3100021020222000212211100
41122102332022220200
53042030443104103
6112312431114400
710001431221540
oct1322276125040
9307228025740
1096955050528
1138133664536
121695a072a00
1391b1a1a8ab
14499a8b7320
1527c6c675a3
hex1692f8aa20

96955050528 has 288 divisors, whose sum is σ = 321736012416. Its totient is φ = 27120697344.

The previous prime is 96955050509. The next prime is 96955050551. The reversal of 96955050528 is 82505055969.

96955050528 is a `hidden beast` number, since 9 + 69 + 5 + 5 + 0 + 50 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84088800 + ... + 84089952.

It is an arithmetic number, because the mean of its divisors is an integer number (1117138932).

Almost surely, 296955050528 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 96955050528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160868006208).

96955050528 is an abundant number, since it is smaller than the sum of its proper divisors (224780961888).

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

96955050528 is a wasteful number, since it uses less digits than its factorization.

96955050528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 54.

The spelling of 96955050528 in words is "ninety-six billion, nine hundred fifty-five million, fifty thousand, five hundred twenty-eight".