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12718372086 = 23373977079
BaseRepresentation
bin10111101100001001…
…01111010011110110
31012211100212020121000
423312010233103312
5202021400401321
65502010504130
7630113244000
oct136604572366
935740766530
1012718372086
11543720a212
12256b435046
131278c37374
148891b9370
154e6871826
hex2f612f4f6

12718372086 has 128 divisors (see below), whose sum is σ = 33304320000. Its totient is φ = 3595850496.

The previous prime is 12718372081. The next prime is 12718372141. The reversal of 12718372086 is 68027381721.

12718372086 is a `hidden beast` number, since 1 + 271 + 8 + 372 + 0 + 8 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12718372081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1793095 + ... + 1800173.

It is an arithmetic number, because the mean of its divisors is an integer number (260190000).

Almost surely, 212718372086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12718372086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652160000).

12718372086 is an abundant number, since it is smaller than the sum of its proper divisors (20585947914).

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

12718372086 is an equidigital number, since it uses as much as digits as its factorization.

12718372086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7208 (or 7188 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 12718372086 in words is "twelve billion, seven hundred eighteen million, three hundred seventy-two thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 97 98 126 147 189 194 291 294 343 378 441 582 679 686 873 882 1029 1323 1358 1746 2037 2058 2619 2646 3087 4074 4753 5238 6111 6174 7079 9261 9506 12222 14158 14259 18333 18522 21237 28518 33271 36666 42474 42777 49553 63711 66542 85554 99106 99813 127422 128331 148659 191133 199626 256662 297318 299439 346871 382266 445977 598878 686663 693742 891954 898317 1040613 1337931 1373326 1796634 2059989 2081226 2428097 2675862 3121839 4119978 4806641 4856194 6179967 6243678 7284291 9365517 9613282 12359934 14419923 14568582 18539901 18731034 21852873 28839846 33646487 37079802 43259769 43705746 65558619 67292974 86519538 100939461 129779307 131117238 201878922 235525409 259558614 302818383 471050818 605636766 706576227 908455149 1413152454 1816910298 2119728681 4239457362 6359186043 12718372086