Search a number
-
+
79766140041 = 347244832
BaseRepresentation
bin100101001001001101…
…1101011010010001001
321121220001001202110000
41022102123223102021
52301330112440131
6100351041113213
75522452001100
oct1122233532211
9247801052400
1079766140041
11309129a7695
1213561628809
1376a2853943
143c09aa1037
15211cbc6ce6
hex12926eb489

79766140041 has 45 divisors (see below), whose sum is σ = 138641928381. Its totient is φ = 45570484008.

The previous prime is 79766140007. The next prime is 79766140093. The reversal of 79766140041 is 14004166797.

The square root of 79766140041 is 282429.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 79766140041 - 213 = 79766131849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (79766140141) 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 44 ways as a sum of consecutive naturals, for example, 17790786 + ... + 17795268.

Almost surely, 279766140041 is an apocalyptic number.

79766140041 is the 282429-th square number.

79766140041 is the 141215-th centered octagonal number.

It is an amenable number.

79766140041 is a deficient number, since it is larger than the sum of its proper divisors (58875788340).

79766140041 is an frugal number, since it uses more digits than its factorization.

79766140041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8992 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 79766140041 in words is "seventy-nine billion, seven hundred sixty-six million, one hundred forty thousand, forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 4483 13449 31381 40347 94143 121041 219667 282429 363123 659001 847287 1977003 2541861 5931009 17793027 20097289 60291867 140681023 180875601 422043069 542626803 984767161 1266129207 1627880409 2954301483 3798387621 8862904449 11395162863 26588713347 79766140041