Search a number
-
+
24280066386 = 234719192297
BaseRepresentation
bin10110100111001101…
…000110100101010010
32022200010020011120000
4112213031012211102
5344211144111021
615053142030430
71516453105362
oct264715064522
968603204500
1024280066386
11a32a512274
124857418416
13239c337cb4
1412649009a2
159718b3b26
hex5a7346952

24280066386 has 80 divisors (see below), whose sum is σ = 55255685760. Its totient is φ = 7967211840.

The previous prime is 24280066339. The next prime is 24280066399. The reversal of 24280066386 is 68366008242.

24280066386 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 0 + 0 + 6 + 638 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 10569190 + ... + 10571486.

It is an arithmetic number, because the mean of its divisors is an integer number (690696072).

Almost surely, 224280066386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24280066386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27627842880).

24280066386 is an abundant number, since it is smaller than the sum of its proper divisors (30975619374).

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

24280066386 is a wasteful number, since it uses less digits than its factorization.

24280066386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 24280066386 in words is "twenty-four billion, two hundred eighty million, sixty-six thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 919 1278 1838 1917 2297 2757 3834 4594 5514 5751 6891 8271 11502 13782 16542 20673 24813 41346 49626 62019 65249 74439 124038 130498 148878 163087 186057 195747 326174 372114 391494 489261 587241 978522 1174482 1467783 1761723 2110943 2935566 3523446 4221886 4403349 5285169 6332829 8806698 10570338 12665658 13210047 18998487 26420094 37996974 56995461 113990922 149876953 170986383 299753906 341972766 449630859 899261718 1348892577 2697785154 4046677731 8093355462 12140033193 24280066386