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201066106164 = 223711809268979
BaseRepresentation
bin1011101101000001111…
…0010100110100110100
3201012222122100111012220
42323100132110310310
511243240410344124
6232211332242340
720345414463150
oct2732036246464
9635878314186
10201066106164
11782a9636580
1232b747703b0
1315c64163721
149a3591a060
15536bd62879
hex2ed0794d34

201066106164 has 96 divisors (see below), whose sum is σ = 585644774400. Its totient is φ = 52160213760.

The previous prime is 201066106159. The next prime is 201066106183. The reversal of 201066106164 is 461601660102.

It is a happy number.

201066106164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613027 + ... + 882005.

It is an arithmetic number, because the mean of its divisors is an integer number (6100466400).

Almost surely, 2201066106164 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 201066106164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292822387200).

201066106164 is an abundant number, since it is smaller than the sum of its proper divisors (384578668236).

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

201066106164 is a wasteful number, since it uses less digits than its factorization.

201066106164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269813 (or 269811 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 201066106164 its reverse (461601660102), we get a palindrome (662667766266).

The spelling of 201066106164 in words is "two hundred one billion, sixty-six million, one hundred six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 809 924 1618 2427 3236 4854 5663 8899 9708 11326 16989 17798 22652 26697 33978 35596 53394 62293 67956 106788 124586 186879 249172 268979 373758 537958 747516 806937 1075916 1613874 1882853 2958769 3227748 3765706 5648559 5917538 7531412 8876307 11297118 11835076 17752614 20711383 22594236 35505228 41422766 62134149 82845532 124268298 217604011 248536596 435208022 652812033 870416044 1305624066 1523228077 2393644121 2611248132 3046456154 4569684231 4787288242 6092912308 7180932363 9139368462 9574576484 14361864726 16755508847 18278736924 28723729452 33511017694 50266526541 67022035388 100533053082 201066106164