Search a number
-
+
24022542984 = 23311532237699
BaseRepresentation
bin10110010111110110…
…101110101010001000
32022000011122121212020
4112113312232222020
5343144232333414
615011422244440
71510205150316
oct262766565210
968004577766
1024022542984
11a208110110
1247a5126720
13235ab9009b
14123c6270b6
15958e957a9
hex597daea88

24022542984 has 128 divisors (see below), whose sum is σ = 67060224000. Its totient is φ = 7109256960.

The previous prime is 24022542967. The next prime is 24022542997. The reversal of 24022542984 is 48924522042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3116367 + ... + 3124065.

It is an arithmetic number, because the mean of its divisors is an integer number (523908000).

Almost surely, 224022542984 is an apocalyptic number.

24022542984 is a gapful number since it is divisible by the number (24) 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 24022542984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112000).

24022542984 is an abundant number, since it is smaller than the sum of its proper divisors (43037681016).

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

24022542984 is a wasteful number, since it uses less digits than its factorization.

24022542984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995 (or 7991 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 24022542984 in words is "twenty-four billion, twenty-two million, five hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 223 264 318 424 446 583 636 669 892 1166 1272 1338 1749 1784 2332 2453 2676 3498 4664 4906 5352 6996 7359 7699 9812 11819 13992 14718 15398 19624 23097 23638 29436 30796 35457 46194 47276 58872 61592 70914 84689 92388 94552 130009 141828 169378 184776 254067 260018 283656 338756 390027 408047 508134 520036 677512 780054 816094 1016268 1040072 1224141 1560108 1632188 1716877 2032536 2448282 3120216 3264376 3433754 4488517 4896564 5150631 6867508 8977034 9793128 10301262 13465551 13735016 17954068 18885647 20602524 26931102 35908136 37771294 41205048 53862204 56656941 75542588 90994481 107724408 113313882 151085176 181988962 226627764 272983443 363977924 453255528 545966886 727955848 1000939291 1091933772 2001878582 2183867544 3002817873 4003757164 6005635746 8007514328 12011271492 24022542984