Search a number
-
+
3666356003156 = 2271123750095839
BaseRepresentation
bin110101010110100011110…
…110001110000101010100
3110222111111122122112212212
4311112203312032011110
5440032144114100111
611444144541132552
7525612501554210
oct65264366160524
913874448575785
103666356003156
111193990422600
124b269325a158
1320797498bab2
14c9649c2d940
1565584d1e98b
hex355a3d8e154

3666356003156 has 144 divisors (see below), whose sum is σ = 8280829401600. Its totient is φ = 1389328174080.

The previous prime is 3666356003147. The next prime is 3666356003161. The reversal of 3666356003156 is 6513006536663.

3666356003156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 627905285 + ... + 627911123.

Almost surely, 23666356003156 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 3666356003156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140414700800).

3666356003156 is an abundant number, since it is smaller than the sum of its proper divisors (4614473398444).

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

3666356003156 is a wasteful number, since it uses less digits than its factorization.

3666356003156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10918 (or 10905 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 50.

The spelling of 3666356003156 in words is "three trillion, six hundred sixty-six billion, three hundred fifty-six million, three thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 121 148 154 242 259 308 407 484 518 814 847 1036 1628 1694 2849 3388 4477 5009 5698 5839 8954 10018 11396 11678 17908 20036 23356 31339 35063 40873 55099 62678 64229 70126 81746 110198 125356 128458 140252 163492 185333 216043 220396 256916 370666 385693 432086 449603 606089 706519 741332 771386 864172 899206 1212178 1297331 1413038 1512301 1542772 1798412 2038663 2376473 2424356 2594662 2826076 3024602 4077326 4242623 4752946 4945633 5189324 6049204 8154652 8485246 9505892 9891266 14270641 16635311 16970492 19782532 22425293 26141203 28541282 29247551 33270622 44850586 52282406 57082564 58495102 66541244 89701172 104564812 116990204 156977051 182988421 204732857 313954102 321723061 365976842 409465714 627908204 643446122 731953684 818931428 1082159387 1286892244 2164318774 2252061427 3538953671 4328637548 4504122854 7077907342 7575115709 9008245708 11903753257 14155814684 15150231418 23807506514 24772675697 30300462836 47615013028 49545351394 83326272799 99090702788 130941285827 166652545598 261882571654 333305091196 523765143308 916589000789 1833178001578 3666356003156