Search a number
-
+
126168104138713 = 72137310924892057
BaseRepresentation
bin11100101011111111001101…
…000001110111011111011001
3121112201112221002220122012021
4130223333031001313133121
5113014114234124414323
61124200454335014441
735401226144252200
oct3453771501673731
9545645832818167
10126168104138713
113722365765511a
121219828296a421
1355527a79cba20
1423227d6bc8237
15e8bdc679705d
hex72bfcd0777d9

126168104138713 has 48 divisors (see below), whose sum is σ = 161691838991760. Its totient is φ = 97554556237824.

The previous prime is 126168104138677. The next prime is 126168104138777. The reversal of 126168104138713 is 317831401861621.

It can be written as a sum of positive squares in 8 ways, for example, as 12768351398089 + 113399752740624 = 3573283^2 + 10648932^2 .

It is not a de Polignac number, because 126168104138713 - 237 = 126030665185241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126166104138713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7377420 + ... + 17514637.

It is an arithmetic number, because the mean of its divisors is an integer number (3368579978995).

Almost surely, 2126168104138713 is an apocalyptic number.

126168104138713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

126168104138713 is a deficient number, since it is larger than the sum of its proper divisors (35523734853047).

126168104138713 is a wasteful number, since it uses less digits than its factorization.

126168104138713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24892266 (or 24892259 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 126168104138713 in words is "one hundred twenty-six trillion, one hundred sixty-eight billion, one hundred four million, one hundred thirty-eight thousand, seven hundred thirteen".

Divisors: 1 7 13 49 73 91 109 511 637 763 949 1417 3577 5341 6643 7957 9919 46501 55699 69433 103441 389893 724087 5068609 24892057 174244399 323596741 1219710793 1817120161 2265177187 2713234213 12719841127 15856240309 18992639491 23622562093 35272044769 89038887889 132948476437 165357934651 198066097549 246904313383 1157505542557 1386462682843 1728330193681 2574859268137 9705238779901 18024014876959 126168104138713