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96925086720 = 21032571159463
BaseRepresentation
bin101101001000100101…
…1110111010000000000
3100021011212122120012200
41122101023313100000
53042000310233340
6112305440553200
710000615433520
oct1322113672000
9307155576180
1096925086720
1138118759260
1216950022800
1391a8759227
144996917680
1527c42e9330
hex16912f7400

96925086720 has 1056 divisors, whose sum is σ = 426729738240. Its totient is φ = 19756154880.

The previous prime is 96925086691. The next prime is 96925086721. The reversal of 96925086720 is 2768052969.

96925086720 is a `hidden beast` number, since 9 + 69 + 2 + 508 + 6 + 72 + 0 = 666.

96925086720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96925086721) 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, 209341209 + ... + 209341671.

Almost surely, 296925086720 is an apocalyptic number.

96925086720 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 96925086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213364869120).

96925086720 is an abundant number, since it is smaller than the sum of its proper divisors (329804651520).

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

96925086720 is a wasteful number, since it uses less digits than its factorization.

96925086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 96925086720 in words is "ninety-six billion, nine hundred twenty-five million, eighty-six thousand, seven hundred twenty".