Search a number
-
+
23985974016 = 28351737613
BaseRepresentation
bin10110010101101011…
…001110101100000000
32021220121211201200000
4112111223032230000
5343110402132031
615004034400000
71506252262254
oct262553165400
967817751600
1023985974016
11a199503324
124794a30000
132353428144
141237828264
15955b703e6
hex595aceb00

23985974016 has 432 divisors, whose sum is σ = 78117215904. Its totient is φ = 7309688832.

The previous prime is 23985974011. The next prime is 23985974017. The reversal of 23985974016 is 61047958932.

23985974016 is a `hidden beast` number, since 2 + 3 + 9 + 8 + 597 + 40 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (23985974011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39128526 + ... + 39129138.

It is a 1-persistent number, because it is pandigital, but 2⋅23985974016 = 47971948032 is not.

Almost surely, 223985974016 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 23985974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39058607952).

23985974016 is an abundant number, since it is smaller than the sum of its proper divisors (54131241888).

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

23985974016 is an equidigital number, since it uses as much as digits as its factorization.

23985974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

It can be divided in two parts, 23985 and 974016, that added together give a square (998001 = 9992).

The spelling of 23985974016 in words is "twenty-three billion, nine hundred eighty-five million, nine hundred seventy-four thousand, sixteen".