Search a number
-
+
24190621056 = 27337320407
BaseRepresentation
bin10110100001110111…
…111001010110000000
32022102212220212122000
4112201313321112000
5344020244333211
615040224544000
71514315613000
oct264167712600
968385825560
1024190621056
11a293a7a708
124831482000
13238694b674
141256a9a000
15968ae6656
hex5a1df9580

24190621056 has 256 divisors, whose sum is σ = 83264640000. Its totient is φ = 6911267328.

The previous prime is 24190621051. The next prime is 24190621057. The reversal of 24190621056 is 65012609142.

24190621056 is a `hidden beast` number, since 24 + 1 + 9 + 0 + 621 + 0 + 5 + 6 = 666.

It is a super-3 number, since 3×241906210563 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 24190621056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24190621051) 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 31 ways as a sum of consecutive naturals, for example, 1175205 + ... + 1195611.

It is an arithmetic number, because the mean of its divisors is an integer number (325252500).

Almost surely, 224190621056 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 24190621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41632320000).

24190621056 is an abundant number, since it is smaller than the sum of its proper divisors (59074018944).

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

24190621056 is an equidigital number, since it uses as much as digits as its factorization.

24190621056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20451 (or 20419 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 24190621056 in words is "twenty-four billion, one hundred ninety million, six hundred twenty-one thousand, fifty-six".