Search a number
-
+
82993912863 = 3198317542573
BaseRepresentation
bin100110101001011010…
…0101001110000011111
321221012222200121100120
41031102310221300133
52324432420202423
6102043223330023
75665444422351
oct1152264516037
9257188617316
1082993912863
113221999a134
12141025b0913
137a984977a4
1440346390d1
15225b25dee3
hex1352d29c1f

82993912863 has 16 divisors (see below), whose sum is σ = 117886097280. Its totient is φ = 51785672544.

The previous prime is 82993912819. The next prime is 82993912867. The reversal of 82993912863 is 36821939928.

It is not a de Polignac number, because 82993912863 - 220 = 82992864287 is a prime.

It is a super-2 number, since 2×829939128632 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82993912797 and 82993912806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82993912867) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8766556 + ... + 8776017.

It is an arithmetic number, because the mean of its divisors is an integer number (7367881080).

Almost surely, 282993912863 is an apocalyptic number.

82993912863 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

82993912863 is a deficient number, since it is larger than the sum of its proper divisors (34892184417).

82993912863 is a wasteful number, since it uses less digits than its factorization.

82993912863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17542678.

The product of its digits is 10077696, while the sum is 60.

The spelling of 82993912863 in words is "eighty-two billion, nine hundred ninety-three million, nine hundred twelve thousand, eight hundred sixty-three".

Divisors: 1 3 19 57 83 249 1577 4731 17542573 52627719 333308887 999926661 1456033559 4368100677 27664637621 82993912863