Search a number
-
+
23085737376 = 25313233721737
BaseRepresentation
bin10101100000000001…
…000110010110100000
32012120212212222011020
4111200001012112200
5334234422044001
614334435245440
71445041346532
oct254001062640
965525788136
1023085737376
11987732a1a9
124583449880
13223ba7ab40
141190049852
15901ae8736
hex5600465a0

23085737376 has 192 divisors, whose sum is σ = 69942797568. Its totient is φ = 6610526208.

The previous prime is 23085737351. The next prime is 23085737387. The reversal of 23085737376 is 67373758032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051180 + ... + 1072916.

It is an arithmetic number, because the mean of its divisors is an integer number (364285404).

Almost surely, 223085737376 is an apocalyptic number.

23085737376 is a gapful number since it is divisible by the number (26) 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 23085737376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34971398784).

23085737376 is an abundant number, since it is smaller than the sum of its proper divisors (46857060192).

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

23085737376 is a wasteful number, since it uses less digits than its factorization.

23085737376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21823 (or 21815 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 51.

The spelling of 23085737376 in words is "twenty-three billion, eighty-five million, seven hundred thirty-seven thousand, three hundred seventy-six".