Search a number
-
+
23982091848 = 2335111386269
BaseRepresentation
bin10110010101011100…
…011010111001001000
32021220100112111100000
4112111130122321020
5343103403414343
615003415243000
71506204263061
oct262534327110
967810474300
1023982091848
11a1972a1620
124793679460
1323526990c0
1412370d7568
15955654ed3
hex59571ae48

23982091848 has 192 divisors, whose sum is σ = 79133745600. Its totient is φ = 6708199680.

The previous prime is 23982091781. The next prime is 23982091849. The reversal of 23982091848 is 84819028932.

23982091848 is a `hidden beast` number, since 2 + 398 + 209 + 1 + 8 + 48 = 666.

It is a super-3 number, since 3×239820918483 (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23982091794 and 23982091803.

It is not an unprimeable number, because it can be changed into a prime (23982091849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234858 + ... + 321126.

It is an arithmetic number, because the mean of its divisors is an integer number (412154925).

Almost surely, 223982091848 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 23982091848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39566872800).

23982091848 is an abundant number, since it is smaller than the sum of its proper divisors (55151653752).

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

23982091848 is a wasteful number, since it uses less digits than its factorization.

23982091848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86314 (or 86298 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 23982091848 in words is "twenty-three billion, nine hundred eighty-two million, ninety-one thousand, eight hundred forty-eight".