Search a number
-
+
81121996820 = 225192316755579
BaseRepresentation
bin100101110001100111…
…1110111000000010100
321202101112100102021202
41023203033313000110
52312114212344240
6101133353532032
75601164411234
oct1134317670024
9252345312252
1081121996820
1131449285987
121387b714018
13785a717a67
143cd7ba1cc4
15219bc4c315
hex12e33f7014

81121996820 has 96 divisors (see below), whose sum is σ = 188242790400. Its totient is φ = 29227803264.

The previous prime is 81121996819. The next prime is 81121996829. The reversal of 81121996820 is 2869912118.

It is a super-2 number, since 2×811219968202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81121996829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431791 + ... + 1487369.

It is an arithmetic number, because the mean of its divisors is an integer number (1960862400).

Almost surely, 281121996820 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 81121996820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94121395200).

81121996820 is an abundant number, since it is smaller than the sum of its proper divisors (107120793580).

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

81121996820 is a wasteful number, since it uses less digits than its factorization.

81121996820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55797 (or 55795 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 47.

The spelling of 81121996820 in words is "eighty-one billion, one hundred twenty-one million, nine hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 167 190 230 334 380 437 460 668 835 874 1670 1748 2185 3173 3340 3841 4370 6346 7682 8740 12692 15364 15865 19205 31730 38410 55579 63460 72979 76820 111158 145958 222316 277895 291916 364895 555790 729790 1056001 1111580 1278317 1459580 2112002 2556634 4224004 5113268 5280005 6391585 9281693 10560010 12783170 18563386 21120020 24288023 25566340 37126772 46408465 48576046 92816930 97152092 121440115 176352167 185633860 213478939 242880230 352704334 426957878 485760460 705408668 853915756 881760835 1067394695 1763521670 2134789390 3527043340 4056099841 4269578780 8112199682 16224399364 20280499205 40560998410 81121996820