Search a number
-
+
23825492460 = 223257211435711
BaseRepresentation
bin10110001100000111…
…000010100111101100
32021111102212102100200
4112030013002213230
5342243311224320
614540102553500
71502263226100
oct261407024754
967442772320
1023825492460
11a116962140
12474b138890
1323290c9443
1412203b1900
15946a20290
hex58c1c29ec

23825492460 has 432 divisors, whose sum is σ = 93861960192. Its totient is φ = 4834771200.

The previous prime is 23825492459. The next prime is 23825492477. The reversal of 23825492460 is 6429452832.

23825492460 is a `hidden beast` number, since 2 + 3 + 82 + 549 + 24 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4169005 + ... + 4174715.

It is an arithmetic number, because the mean of its divisors is an integer number (217273056).

Almost surely, 223825492460 is an apocalyptic number.

23825492460 is a gapful number since it is divisible by the number (20) 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 23825492460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46930980096).

23825492460 is an abundant number, since it is smaller than the sum of its proper divisors (70036467732).

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

23825492460 is a wasteful number, since it uses less digits than its factorization.

23825492460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5794 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 23825492460 in words is "twenty-three billion, eight hundred twenty-five million, four hundred ninety-two thousand, four hundred sixty".