Search a number
-
+
12684134970 = 232513101910639
BaseRepresentation
bin10111101000000100…
…01000101000111010
31012201222102211002200
423310002020220322
5201434114304340
65454345011030
7626216240223
oct136402105072
935658384080
1012684134970
115419955381
12255ba83a76
131271b0a910
1488482624a
154e385c330
hex2f4088a3a

12684134970 has 96 divisors (see below), whose sum is σ = 35553772800. Its totient is φ = 3118891392.

The previous prime is 12684134963. The next prime is 12684134989. The reversal of 12684134970 is 7943148621.

12684134970 is a `hidden beast` number, since 1 + 268 + 41 + 349 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1186911 + ... + 1197549.

It is an arithmetic number, because the mean of its divisors is an integer number (370351800).

Almost surely, 212684134970 is an apocalyptic number.

12684134970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12684134970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776886400).

12684134970 is an abundant number, since it is smaller than the sum of its proper divisors (22869637830).

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

12684134970 is a wasteful number, since it uses less digits than its factorization.

12684134970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11684 (or 11681 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12684134970 in words is "twelve billion, six hundred eighty-four million, one hundred thirty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1019 1170 2038 3057 5095 6114 9171 10190 10639 13247 15285 18342 21278 26494 30570 31917 39741 45855 53195 63834 66235 79482 91710 95751 106390 119223 132470 138307 159585 191502 198705 238446 276614 319170 397410 414921 478755 596115 691535 829842 957510 1192230 1244763 1383070 2074605 2489526 4149210 6223815 10841141 12447630 21682282 32523423 54205705 65046846 97570269 108411410 140934833 162617115 195140538 281869666 325234230 422804499 487851345 704674165 845608998 975702690 1268413497 1409348330 2114022495 2536826994 4228044990 6342067485 12684134970