Search a number
-
+
3688683268728 = 2333971283301747
BaseRepresentation
bin110101101011010110101…
…001111110101001111000
3111001122010200100011022210
4311223112221332221320
5440413410404044403
611502320244015120
7530333003312013
oct65532651765170
914048120304283
103688683268728
1111a23a85a56a7
124b6a846914a0
13209ac2567043
14ca76724037a
1565e40045b03
hex35ad6a7ea78

3688683268728 has 64 divisors (see below), whose sum is σ = 9252173036160. Its totient is φ = 1225503962496.

The previous prime is 3688683268727. The next prime is 3688683268747. The reversal of 3688683268728 is 8278623868863.

It is a self number, because there is not a number n which added to its sum of digits gives 3688683268728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688683268727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12073551 + ... + 12375297.

It is an arithmetic number, because the mean of its divisors is an integer number (144565203690).

Almost surely, 23688683268728 is an apocalyptic number.

It is an amenable number.

3688683268728 is an abundant number, since it is smaller than the sum of its proper divisors (5563489767432).

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

3688683268728 is a wasteful number, since it uses less digits than its factorization.

3688683268728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303436 (or 303432 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 75.

The spelling of 3688683268728 in words is "three trillion, six hundred eighty-eight billion, six hundred eighty-three million, two hundred sixty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 397 794 1191 1283 1588 2382 2566 3176 3849 4764 5132 7698 9528 10264 15396 30792 301747 509351 603494 905241 1018702 1206988 1528053 1810482 2037404 2413976 3056106 3620964 4074808 6112212 7241928 12224424 119793559 239587118 359380677 387141401 479174236 718761354 774282802 958348472 1161424203 1437522708 1548565604 2322848406 2875045416 3097131208 4645696812 9291393624 153695136197 307390272394 461085408591 614780544788 922170817182 1229561089576 1844341634364 3688683268728