Search a number
-
+
13600665540 = 22325711981289
BaseRepresentation
bin11001010101010100…
…11010111111000100
31022002212001101200100
430222222122333010
5210323232244130
610125325244100
7661015515060
oct145252327704
938085041610
1013600665540
11584a248360
122776a03630
1313899714b7
14930446aa0
15549051c60
hex32aa9afc4

13600665540 has 144 divisors (see below), whose sum is σ = 51435296640. Its totient is φ = 2826109440.

The previous prime is 13600665503. The next prime is 13600665541. The reversal of 13600665540 is 4556600631.

13600665540 is a `hidden beast` number, since 1 + 3 + 600 + 6 + 6 + 5 + 5 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13600665495 and 13600665504.

It is not an unprimeable number, because it can be changed into a prime (13600665541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476785 + ... + 504504.

It is an arithmetic number, because the mean of its divisors is an integer number (357189560).

Almost surely, 213600665540 is an apocalyptic number.

13600665540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13600665540 is an abundant number, since it is smaller than the sum of its proper divisors (37834631100).

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

13600665540 is a wasteful number, since it uses less digits than its factorization.

13600665540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981322 (or 981317 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13600665540 in words is "thirteen billion, six hundred million, six hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 981289 1962578 2943867 3925156 4906445 5887734 6869023 8831601 9812890 10794179 11775468 13738046 14719335 17663202 19625780 20607069 21588358 27476092 29438670 32382537 34345115 35326404 41214138 43176716 44158005 53970895 58877340 61821207 64765074 68690230 75559253 82428276 88316010 97147611 103035345 107941790 123642414 129530148 137380460 151118506 161912685 176632020 194295222 206070690 215883580 226677759 247284828 302237012 309106035 323825370 377796265 388590444 412141380 453355518 485738055 618212070 647650740 680033277 755592530 906711036 971476110 1133388795 1236424140 1360066554 1511185060 1942952220 2266777590 2720133108 3400166385 4533555180 6800332770 13600665540