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66122201162116 = 22113125329504983
BaseRepresentation
bin11110000100011010001100…
…10011111110000110000100
322200010012221212222022010201
433002031012103332012010
532131321231444141431
6352344041520300244
716633112533251361
oct1702150623760604
9280105855868121
1066122201162116
111a0832a4832320
1274bab13471684
132ab83b2142c28
14124848dd2d468
15799ecbd8c461
hex3c23464fe184

66122201162116 has 72 divisors (see below), whose sum is σ = 132897765172032. Its totient is φ = 28537218590400.

The previous prime is 66122201162071. The next prime is 66122201162117. The reversal of 66122201162116 is 61126110222166.

It is not an unprimeable number, because it can be changed into a prime (66122201162117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12511440 + ... + 16993543.

It is an arithmetic number, because the mean of its divisors is an integer number (1845802294056).

Almost surely, 266122201162116 is an apocalyptic number.

It is an amenable number.

66122201162116 is an abundant number, since it is smaller than the sum of its proper divisors (66775564009916).

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

66122201162116 is a wasteful number, since it uses less digits than its factorization.

66122201162116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29505113 (or 29505080 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 66122201162116 in words is "sixty-six trillion, one hundred twenty-two billion, two hundred one million, one hundred sixty-two thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 31 44 53 62 106 124 212 341 583 682 961 1166 1364 1643 1922 2332 3286 3844 6572 10571 18073 21142 36146 42284 50933 72292 101866 203732 560263 1120526 2241052 29504983 59009966 118019932 324554813 649109626 914654473 1298219252 1563764099 1829308946 3127528198 3658617892 6255056396 10061199203 17201405089 20122398406 28354288663 34402810178 40244796812 48476687069 56708577326 68805620356 96953374138 113417154652 193906748276 311897175293 533243557759 623794350586 1066487115518 1247588701172 1502777299139 2132974231036 3005554598278 6011109196556 16530550290529 33061100581058 66122201162116