Search a number
-
+
3355067038686 = 2311283547110177
BaseRepresentation
bin110000110100101001100…
…101000011101111011110
3102212202000101112201011120
4300310221211003233132
5414432134130214221
611045144014231410
7464252455200636
oct60645145035736
912782011481146
103355067038686
11108396a971200
124622991b5566
131b44c60cca6c
14b85596bb6c6
155c4165425c6
hex30d29943bde

3355067038686 has 96 divisors (see below), whose sum is σ = 7466562561024. Its totient is φ = 1004155468800.

The previous prime is 3355067038651. The next prime is 3355067038733. The reversal of 3355067038686 is 6868307605533.

It is a happy number.

It is a super-2 number, since 2×33550670386862 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

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, 329666430 + ... + 329676606.

It is an arithmetic number, because the mean of its divisors is an integer number (77776693344).

Almost surely, 23355067038686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3355067038686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733281280512).

3355067038686 is an abundant number, since it is smaller than the sum of its proper divisors (4111495522338).

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

3355067038686 is a wasteful number, since it uses less digits than its factorization.

3355067038686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15758 (or 15747 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 3355067038686 in words is "three trillion, three hundred fifty-five billion, sixty-seven million, thirty-eight thousand, six hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 66 83 121 166 242 249 363 498 726 913 1826 2739 5471 5478 10043 10177 10942 16413 20086 20354 30129 30531 32826 60181 60258 61062 111947 120362 180543 223894 335841 361086 454093 661991 671682 844691 908186 1231417 1323982 1362279 1689382 1985973 2462834 2534073 2724558 3694251 3971946 4995023 5068146 7388502 9291601 9990046 14985069 18583202 27874803 29970138 54945253 55678367 55749606 102207611 109890506 111356734 164835759 167035101 204415222 306622833 329671518 334070202 612462037 613245666 1224924074 1837386111 3674772222 4621304461 6737082407 9242608922 13474164814 13863913383 20211247221 27727826766 40422494442 50834349071 101668698142 152503047213 305006094426 559177839781 1118355679562 1677533519343 3355067038686