Search a number
-
+
24323622640 = 2451794094153
BaseRepresentation
bin10110101001110011…
…010000011011110000
32022210011012001111121
4112221303100123300
5344303321411030
615101335352024
71520522244502
oct265163203360
968704161447
1024323622640
11a352061779
124869b22614
1323a8378425
14126a5dbd72
1597561947a
hex5a9cd06f0

24323622640 has 80 divisors (see below), whose sum is σ = 57021127200. Its totient is φ = 9649115136.

The previous prime is 24323622637. The next prime is 24323622691. The reversal of 24323622640 is 4622632342.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 24323622596 and 24323622605.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5854804 + ... + 5858956.

It is an arithmetic number, because the mean of its divisors is an integer number (712764090).

Almost surely, 224323622640 is an apocalyptic number.

24323622640 is a gapful number since it is divisible by the number (20) 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 24323622640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28510563600).

24323622640 is an abundant number, since it is smaller than the sum of its proper divisors (32697504560).

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

24323622640 is a wasteful number, since it uses less digits than its factorization.

24323622640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4754 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 24323622640 in words is "twenty-four billion, three hundred twenty-three million, six hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 409 716 818 895 1432 1636 1790 2045 2864 3272 3580 4090 4153 6544 7160 8180 8306 14320 16360 16612 20765 32720 33224 41530 66448 73211 83060 146422 166120 292844 332240 366055 585688 732110 743387 1171376 1464220 1486774 1698577 2928440 2973548 3397154 3716935 5856880 5947096 6794308 7433870 8492885 11894192 13588616 14867740 16985770 27177232 29735480 33971540 59470960 67943080 135886160 304045283 608090566 1216181132 1520226415 2432362264 3040452830 4864724528 6080905660 12161811320 24323622640