Search a number
-
+
23715465930 = 2355133161397
BaseRepresentation
bin10110000101100011…
…010100101011001010
32021012202211111100000
4112011203110223022
5342032124402210
614521132423430
71466456064042
oct260543245312
967182744300
1023715465930
11a06a842622
12471a317b76
13230c384ca0
14120d930722
1593c039ac0
hex5858d4aca

23715465930 has 384 divisors, whose sum is σ = 72431364096. Its totient is φ = 5542732800.

The previous prime is 23715465889. The next prime is 23715465931. The reversal of 23715465930 is 3956451732.

23715465930 is a `hidden beast` number, since 2 + 3 + 7 + 1 + 54 + 6 + 593 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23715465931) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59736492 + ... + 59736888.

It is an arithmetic number, because the mean of its divisors is an integer number (188623344).

Almost surely, 223715465930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23715465930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36215682048).

23715465930 is an abundant number, since it is smaller than the sum of its proper divisors (48715898166).

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

23715465930 is a wasteful number, since it uses less digits than its factorization.

23715465930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 23715465930 in words is "twenty-three billion, seven hundred fifteen million, four hundred sixty-five thousand, nine hundred thirty".