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13704312636 = 22327375472687
BaseRepresentation
bin11001100001101011…
…10011011100111100
31022101002002012202200
430300311303130330
5211031301001021
610143510551500
7663414510150
oct146065633474
938332065680
1013704312636
1158a27aaa13
1227a5668590
1313a5291041
14940107060
155531c7126
hex330d7373c

13704312636 has 144 divisors (see below), whose sum is σ = 40749735936. Its totient is φ = 3801313152.

The previous prime is 13704312613. The next prime is 13704312641. The reversal of 13704312636 is 63621340731.

13704312636 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 4 + 3 + 12 + 636 = 666.

It is a super-3 number, since 3×137043126363 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13704312636.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5098885 + ... + 5101571.

Almost surely, 213704312636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13704312636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20374867968).

13704312636 is an abundant number, since it is smaller than the sum of its proper divisors (27045423300).

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

13704312636 is a wasteful number, since it uses less digits than its factorization.

13704312636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13704312636 in words is "thirteen billion, seven hundred four million, three hundred twelve thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 547 666 777 1036 1094 1332 1554 1641 2188 2331 2687 3108 3282 3829 4662 4923 5374 6564 7658 8061 9324 9846 10748 11487 15316 16122 18809 19692 20239 22974 24183 32244 34461 37618 40478 45948 48366 56427 60717 68922 75236 80956 96732 99419 112854 121434 137844 141673 169281 182151 198838 225708 242868 283346 298257 338562 364302 397676 425019 566692 596514 677124 695933 728604 850038 894771 1193028 1275057 1391866 1469789 1700076 1789542 2087799 2550114 2783732 2939578 3579084 4175598 4409367 5100228 5879156 6263397 8351196 8818734 10288523 12526794 13228101 17637468 20577046 25053588 26456202 30865569 41154092 52912404 54382193 61731138 92596707 108764386 123462276 163146579 185193414 217528772 326293158 370386828 380675351 489439737 652586316 761350702 978879474 1142026053 1522701404 1957758948 2284052106 3426078159 4568104212 6852156318 13704312636