Search a number
-
+
79866820131 = 3717219692621
BaseRepresentation
bin100101001100001101…
…1101111011000100011
321122011001111211120020
41022120123233120203
52302031401221011
6100405035044523
75525113525050
oct1123033573043
9248131454506
1079866820131
113096481307a
121358b2a0743
1376ba674b67
143c191cc027
152126963006
hex12986ef623

79866820131 has 48 divisors (see below), whose sum is σ = 136086370560. Its totient is φ = 40692810240.

The previous prime is 79866820081. The next prime is 79866820139. The reversal of 79866820131 is 13102866897.

It is not a de Polignac number, because 79866820131 - 210 = 79866819107 is a prime.

It is a super-2 number, since 2×798668201312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (79866820139) 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 47 ways as a sum of consecutive naturals, for example, 231000 + ... + 461621.

It is an arithmetic number, because the mean of its divisors is an integer number (2835132720).

Almost surely, 279866820131 is an apocalyptic number.

79866820131 is a deficient number, since it is larger than the sum of its proper divisors (56219550429).

79866820131 is a wasteful number, since it uses less digits than its factorization.

79866820131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692684 (or 692667 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 79866820131 in words is "seventy-nine billion, eight hundred sixty-six million, eight hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 17 19 21 51 57 119 133 289 323 357 399 867 969 2023 2261 5491 6069 6783 16473 38437 115311 692621 2077863 4848347 11774557 13159799 14545041 35323671 39479397 82421899 92118593 200167469 223716583 247265697 276355779 600502407 671149749 1401172283 1566016081 3803181911 4203516849 4698048243 11409545733 26622273377 79866820131