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12484092894 = 23721331105367
BaseRepresentation
bin10111010000001110…
…00010001111011110
31012020001000121221220
423220013002033132
5201031411433034
65422441234210
7621240016200
oct135007021736
935201017856
1012484092894
115326a43849
122504a92966
13123c53a420
14866032770
154d0ee5749
hex2e81c23de

12484092894 has 96 divisors (see below), whose sum is σ = 32288126976. Its totient is φ = 3186267840.

The previous prime is 12484092857. The next prime is 12484092931. The reversal of 12484092894 is 49829048421.

12484092894 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12484092857) and next prime (12484092931).

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 47 ways as a sum of consecutive naturals, for example, 65799 + ... + 171165.

It is an arithmetic number, because the mean of its divisors is an integer number (336334656).

Almost surely, 212484092894 is an apocalyptic number.

12484092894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12484092894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144063488).

12484092894 is an abundant number, since it is smaller than the sum of its proper divisors (19804034082).

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

12484092894 is a wasteful number, since it uses less digits than its factorization.

12484092894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105430 (or 105423 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 12484092894 in words is "twelve billion, four hundred eighty-four million, ninety-two thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 147 182 186 217 273 294 403 434 546 637 651 806 1209 1274 1302 1519 1911 2418 2821 3038 3822 4557 5642 8463 9114 16926 19747 39494 59241 105367 118482 210734 316101 632202 737569 1369771 1475138 2212707 2739542 3266377 4109313 4425414 5162983 6532754 8218626 9588397 9799131 10325966 15488949 19176794 19598262 22864639 28765191 30977898 42462901 45729278 57530382 67118779 68593917 84925802 127388703 134237558 137187834 160052473 201356337 254777406 297240307 320104946 402712674 480157419 594480614 891720921 960314838 1783441842 2080682149 4161364298 6242046447 12484092894