Search a number
-
+
61686928806102 = 232231491000015057
BaseRepresentation
bin11100000011010100110110…
…11110101001000011010110
322002102012202010112220001200
432001222123132221003112
531041134312233243402
6335110330041133330
715664506413255115
oct1601523336510326
9262365663486050
1061686928806102
1118723309155206
126b0340b78a246
13285608b2461b2
1411339400a5c7c
1571e942aaa21c
hex381a9b7a90d6

61686928806102 has 48 divisors (see below), whose sum is σ = 140402114143200. Its totient is φ = 19536294134016.

The previous prime is 61686928806089. The next prime is 61686928806163. The reversal of 61686928806102 is 20160882968616.

61686928806102 is a `hidden beast` number, since 6 + 1 + 6 + 8 + 6 + 9 + 2 + 8 + 8 + 0 + 610 + 2 = 666.

61686928806102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×616869288061022 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61686928806102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499945843 + ... + 500069214.

It is an arithmetic number, because the mean of its divisors is an integer number (2925044044650).

Almost surely, 261686928806102 is an apocalyptic number.

61686928806102 is an abundant number, since it is smaller than the sum of its proper divisors (78715185337098).

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

61686928806102 is a wasteful number, since it uses less digits than its factorization.

61686928806102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000015237 (or 1000015234 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 61686928806102 in words is "sixty-one trillion, six hundred eighty-six billion, nine hundred twenty-eight million, eight hundred six thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 149 207 298 414 447 894 1341 2682 3427 6854 10281 20562 30843 61686 1000015057 2000030114 3000045171 6000090342 9000135513 18000271026 23000346311 46000692622 69001038933 138002077866 149002243493 207003116799 298004486986 414006233598 447006730479 894013460958 1341020191437 2682040382874 3427051600339 6854103200678 10281154801017 20562309602034 30843464403051 61686928806102