Search a number
-
+
12671644840 = 2352323371777
BaseRepresentation
bin10111100110100100…
…11111010010101000
31012201002221020212021
423303102133102220
5201422420113330
65453221154224
7626005126651
oct136322372250
935632836767
1012671644840
1154128a4358
12255785b974
13126c3567ca
14882cd4528
154e26e167a
hex2f349f4a8

12671644840 has 96 divisors (see below), whose sum is σ = 29909978280. Its totient is φ = 4831174656.

The previous prime is 12671644829. The next prime is 12671644913. The reversal of 12671644840 is 4844617621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8866482244 + 3805162596 = 94162^2 + 61686^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7130032 + ... + 7131808.

Almost surely, 212671644840 is an apocalyptic number.

12671644840 is a gapful number since it is divisible by the number (10) 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 12671644840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14954989140).

12671644840 is an abundant number, since it is smaller than the sum of its proper divisors (17238333440).

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

12671644840 is a wasteful number, since it uses less digits than its factorization.

12671644840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 12671644840 in words is "twelve billion, six hundred seventy-one million, six hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 337 460 529 674 920 1058 1348 1685 1777 2116 2645 2696 3370 3554 4232 5290 6740 7108 7751 8885 10580 13480 14216 15502 17770 21160 31004 35540 38755 40871 62008 71080 77510 81742 155020 163484 178273 204355 310040 326968 356546 408710 598849 713092 817420 891365 940033 1197698 1426184 1634840 1782730 1880066 2395396 2994245 3565460 3760132 4700165 4790792 5988490 7130920 7520264 9400330 11976980 13773527 18800660 23953960 27547054 37601320 55094108 68867635 110188216 137735270 275470540 316791121 550941080 633582242 1267164484 1583955605 2534328968 3167911210 6335822420 12671644840