Search a number
-
+
12484389104 = 2411296773613
BaseRepresentation
bin10111010000010000…
…01010100011110000
31012020001120200021122
423220020022203300
5201032000422404
65422451441412
7621242361605
oct135010124360
935201520248
1012484389104
115327126350
122504bb6268
13123c6121b5
148660ac6ac
154d10533be
hex2e820a8f0

12484389104 has 80 divisors (see below), whose sum is σ = 27345258720. Its totient is φ = 5469434880.

The previous prime is 12484389097. The next prime is 12484389119. The reversal of 12484389104 is 40198348421.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 3453602 + ... + 3457214.

It is an arithmetic number, because the mean of its divisors is an integer number (341815734).

Almost surely, 212484389104 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 12484389104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672629360).

12484389104 is an abundant number, since it is smaller than the sum of its proper divisors (14860869616).

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

12484389104 is a wasteful number, since it uses less digits than its factorization.

12484389104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 12484389104 in words is "twelve billion, four hundred eighty-four million, three hundred eighty-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 677 1276 1354 2552 2708 3613 5104 5416 7226 7447 10832 14452 14894 19633 28904 29788 39266 39743 57808 59576 78532 79486 104777 119152 157064 158972 209554 215963 314128 317944 419108 431926 635888 838216 863852 1152547 1676432 1727704 2305094 2446001 3455408 4610188 4892002 9220376 9784004 18440752 19568008 26906011 39136016 53812022 70934029 107624044 141868058 215248088 283736116 430496176 567472232 780274319 1134944464 1560548638 3121097276 6242194552 12484389104