Search a number
-
+
23446833696 = 253311132337223
BaseRepresentation
bin10101110101100010…
…100100101000100000
32020112001100120012000
4111311202210220200
5341004342134241
614434335004000
71460014540506
oct256542445040
966461316160
1023446833696
119a42143210
124664369600
13229881a8c0
1411c5da4676
15923674eb6
hex5758a4a20

23446833696 has 768 divisors, whose sum is σ = 86487367680. Its totient is φ = 6076477440.

The previous prime is 23446833691. The next prime is 23446833731. The reversal of 23446833696 is 69633864432.

23446833696 is a `hidden beast` number, since 2 + 3 + 446 + 83 + 36 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23446833691) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105142641 + ... + 105142863.

It is an arithmetic number, because the mean of its divisors is an integer number (112613760).

Almost surely, 223446833696 is an apocalyptic number.

23446833696 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 23446833696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43243683840).

23446833696 is an abundant number, since it is smaller than the sum of its proper divisors (63040533984).

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

23446833696 is a wasteful number, since it uses less digits than its factorization.

23446833696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 23446833696 in words is "twenty-three billion, four hundred forty-six million, eight hundred thirty-three thousand, six hundred ninety-six".