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31292168082 = 2376113789153
BaseRepresentation
bin11101001001001010…
…001001011110010010
32222202210201211202020
4131021022021132102
51003041243334312
622213031432310
72155310016510
oct351112113622
988683654666
1031292168082
11122a868203a
126093825696
132c48cba2b6
14172bccb4b0
15c322bd78c
hex749289792

31292168082 has 64 divisors (see below), whose sum is σ = 73228955904. Its totient is φ = 8729763840.

The previous prime is 31292168057. The next prime is 31292168111. The reversal of 31292168082 is 28086129213.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306418 + ... + 395570.

It is an arithmetic number, because the mean of its divisors is an integer number (1144202436).

Almost surely, 231292168082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31292168082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36614477952).

31292168082 is an abundant number, since it is smaller than the sum of its proper divisors (41936787822).

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

31292168082 is a wasteful number, since it uses less digits than its factorization.

31292168082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89363.

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 31292168082 in words is "thirty-one billion, two hundred ninety-two million, one hundred sixty-eight thousand, eighty-two".

Divisors: 1 2 3 6 7 14 21 42 61 122 137 183 274 366 411 427 822 854 959 1281 1918 2562 2877 5754 8357 16714 25071 50142 58499 89153 116998 175497 178306 267459 350994 534918 624071 1248142 1872213 3744426 5438333 10876666 12213961 16314999 24427922 32629998 36641883 38068331 73283766 76136662 85497727 114204993 170995454 228409986 256493181 512986362 745051621 1490103242 2235154863 4470309726 5215361347 10430722694 15646084041 31292168082