Search a number
-
+
24424294644 = 22325397131969
BaseRepresentation
bin10110101111110011…
…010010100011110100
32100001011121201112100
4112233303102203310
5400010104412034
615115333222100
71523154036051
oct265763224364
970034551470
1024424294644
11a3a3972082
124897791930
1323c3195a69
141279b26028
1597e3a3099
hex5afcd28f4

24424294644 has 72 divisors (see below), whose sum is σ = 63553056840. Its totient is φ = 7905411072.

The previous prime is 24424294633. The next prime is 24424294669. The reversal of 24424294644 is 44649242442.

It can be written as a sum of positive squares in 4 ways, for example, as 1508390244 + 22915904400 = 38838^2 + 151380^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 24424294644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119092 + ... + 251060.

It is an arithmetic number, because the mean of its divisors is an integer number (882681345).

Almost surely, 224424294644 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 24424294644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31776528420).

24424294644 is an abundant number, since it is smaller than the sum of its proper divisors (39128762196).

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

24424294644 is a wasteful number, since it uses less digits than its factorization.

24424294644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132129 (or 132124 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 24424294644 in words is "twenty-four billion, four hundred twenty-four million, two hundred ninety-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 97 106 159 194 212 291 318 388 477 582 636 873 954 1164 1746 1908 3492 5141 10282 15423 20564 30846 46269 61692 92538 131969 185076 263938 395907 527876 791814 1187721 1583628 2375442 4750884 6994357 12800993 13988714 20983071 25601986 27977428 38402979 41966142 51203972 62949213 76805958 83932284 115208937 125898426 153611916 230417874 251796852 460835748 678452629 1356905258 2035357887 2713810516 4070715774 6106073661 8141431548 12212147322 24424294644