Search a number
-
+
24380792832 = 21331190187
BaseRepresentation
bin10110101101001101…
…010110000000000000
32022221010202121021010
4112231031112000000
5344412440332312
615111141000520
71522115214444
oct265515260000
968833677233
1024380792832
11a38135a570
1248850b3140
1323b7174346
141274040824
1597a65d93c
hex5ad356000

24380792832 has 112 divisors (see below), whose sum is σ = 70922400192. Its totient is φ = 7388037120.

The previous prime is 24380792809. The next prime is 24380792851. The reversal of 24380792832 is 23829708342.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225243 + ... + 315429.

It is an arithmetic number, because the mean of its divisors is an integer number (633235716).

Almost surely, 224380792832 is an apocalyptic number.

24380792832 is a gapful number since it is divisible by the number (22) 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 24380792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35461200096).

24380792832 is an abundant number, since it is smaller than the sum of its proper divisors (46541607360).

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

24380792832 is an equidigital number, since it uses as much as digits as its factorization.

24380792832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90227 (or 90203 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 24380792832 in words is "twenty-four billion, three hundred eighty million, seven hundred ninety-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8192 8448 11264 12288 16896 22528 24576 33792 45056 67584 90112 90187 135168 180374 270336 270561 360748 541122 721496 992057 1082244 1442992 1984114 2164488 2885984 2976171 3968228 4328976 5771968 5952342 7936456 8657952 11543936 11904684 15872912 17315904 23087872 23809368 31745824 34631808 46175744 47618736 63491648 69263616 92351488 95237472 126983296 138527232 184702976 190474944 253966592 277054464 369405952 380949888 507933184 554108928 738811904 761899776 1015866368 1108217856 1523799552 2031732736 2216435712 3047599104 4063465472 6095198208 8126930944 12190396416 24380792832