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66665161100 = 225210126325097
BaseRepresentation
bin111110000101100011…
…011010000110001100
320101002000021001220202
4332011203122012030
52043012240123400
650343041433032
74550011343156
oct760543320614
9211060231822
1066665161100
11262aa82226a
1210b0603b778
1363955879b5
143325b6bad6
151b0297a4d5
hexf858da18c

66665161100 has 72 divisors (see below), whose sum is σ = 146657050848. Its totient is φ = 26300608000.

The previous prime is 66665161097. The next prime is 66665161103. The reversal of 66665161100 is 116156666.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66665161097) and next prime (66665161103).

It is not an unprimeable number, because it can be changed into a prime (66665161103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2643752 + ... + 2668848.

It is an arithmetic number, because the mean of its divisors is an integer number (2036903484).

Almost surely, 266665161100 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 66665161100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73328525424).

66665161100 is an abundant number, since it is smaller than the sum of its proper divisors (79991889748).

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

66665161100 is a wasteful number, since it uses less digits than its factorization.

66665161100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25475 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 66665161100 in words is "sixty-six billion, six hundred sixty-five million, one hundred sixty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 263 404 505 526 1010 1052 1315 2020 2525 2630 5050 5260 6575 10100 13150 25097 26300 26563 50194 53126 100388 106252 125485 132815 250970 265630 501940 531260 627425 664075 1254850 1328150 2509700 2534797 2656300 5069594 6600511 10139188 12673985 13201022 25347970 26402044 33002555 50695940 63369925 66005110 126739850 132010220 165012775 253479700 330025550 660051100 666651611 1333303222 2666606444 3333258055 6666516110 13333032220 16666290275 33332580550 66665161100