Search a number
-
+
12685811670 = 2325791921911
BaseRepresentation
bin10111101000010001…
…00001111111010110
31012202002121000002200
423310020201333112
5201440031433140
65454444545330
7626236422450
oct136410417726
935662530080
1012685811670
11541a8a0084
122560552246
131272276b4c
14884b412d0
154e3a8e030
hex2f4221fd6

12685811670 has 96 divisors (see below), whose sum is σ = 37737722880. Its totient is φ = 2896326720.

The previous prime is 12685811659. The next prime is 12685811683. The reversal of 12685811670 is 7611858621.

12685811670 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 581 + 1 + 67 + 0 = 666.

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

It is a congruent number.

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, 568015 + ... + 589925.

It is an arithmetic number, because the mean of its divisors is an integer number (393101280).

Almost surely, 212685811670 is an apocalyptic number.

12685811670 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 12685811670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18868861440).

12685811670 is an abundant number, since it is smaller than the sum of its proper divisors (25051911210).

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

12685811670 is a wasteful number, since it uses less digits than its factorization.

12685811670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22850 (or 22847 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 12685811670 in words is "twelve billion, six hundred eighty-five million, eight hundred eleven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 919 1838 2757 4595 5514 6433 8271 9190 12866 13785 16542 19299 21911 27570 32165 38598 41355 43822 57897 64330 65733 82710 96495 109555 115794 131466 153377 192990 197199 219110 289485 306754 328665 394398 460131 578970 657330 766885 920262 985995 1380393 1533770 1971990 2300655 2760786 4601310 6901965 13803930 20136209 40272418 60408627 100681045 120817254 140953463 181225881 201362090 281906926 302043135 362451762 422860389 604086270 704767315 845720778 906129405 1268581167 1409534630 1812258810 2114301945 2537162334 4228603890 6342905835 12685811670