Search a number
-
+
9723533225056 = 257678922732069
BaseRepresentation
bin1000110101111110111110…
…1111100110110001100000
31021102120010202012220221021
42031133233233212301200
52233302244001200211
632402532434335224
72022334134465340
oct215375757466140
937376122186837
109723533225056
113109800017052
12111059b72a514
13556c04a04a71
1425889b63cd20
1511cde87c1771
hex8d7efbe6c60

9723533225056 has 192 divisors, whose sum is σ = 22553594380800. Its totient is φ = 4040900481024.

The previous prime is 9723533225023. The next prime is 9723533225071. The reversal of 9723533225056 is 6505223353279.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9723533224994 and 9723533225012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303190590 + ... + 303222658.

It is an arithmetic number, because the mean of its divisors is an integer number (117466637400).

Almost surely, 29723533225056 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 9723533225056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276797190400).

9723533225056 is an abundant number, since it is smaller than the sum of its proper divisors (12830061155744).

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

9723533225056 is a wasteful number, since it uses less digits than its factorization.

9723533225056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32469 (or 32461 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 52.

The spelling of 9723533225056 in words is "nine trillion, seven hundred twenty-three billion, five hundred thirty-three million, two hundred twenty-five thousand, fifty-six".