Search a number
-
+
135278564844348 = 223219661299206777
BaseRepresentation
bin11110110000100011111110…
…110011011010001100111100
3122201222111121210000201020100
4132300203332303122030330
5120212401000100004343
61155414040441521100
740331360642446152
oct3660437663321474
9581874553021210
10135278564844348
113a116354171312
1213209a857a3190
135a639386630a3
142559735d3b3d2
151098d8c7219d3
hex7b08fecda33c

135278564844348 has 72 divisors (see below), whose sum is σ = 360496294405520. Its totient is φ = 42654917986560.

The previous prime is 135278564844341. The next prime is 135278564844389. The reversal of 135278564844348 is 843448465872531.

135278564844348 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 7 + 85 + 64 + 8 + 443 + 48 = 666.

135278564844348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135278564844341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149151265 + ... + 150055512.

Almost surely, 2135278564844348 is an apocalyptic number.

135278564844348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135278564844348 is an abundant number, since it is smaller than the sum of its proper divisors (225217729561172).

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

135278564844348 is a wasteful number, since it uses less digits than its factorization.

135278564844348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299207467 (or 299207462 counting only the distinct ones).

The product of its digits is 2477260800, while the sum is 72.

The spelling of 135278564844348 in words is "one hundred thirty-five trillion, two hundred seventy-eight billion, five hundred sixty-four million, eight hundred forty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 661 684 1322 1983 2644 3966 5949 7932 11898 12559 23796 25118 37677 50236 75354 113031 150708 226062 452124 299206777 598413554 897620331 1196827108 1795240662 2692860993 3590481324 5385721986 5684928763 10771443972 11369857526 17054786289 22739715052 34109572578 51164358867 68219145156 102328717734 197775679597 204657435468 395551359194 593327038791 791102718388 1186654077582 1779981116373 2373308155164 3559962232746 3757737912343 7119924465492 7515475824686 11273213737029 15030951649372 22546427474058 33819641211087 45092854948116 67639282422174 135278564844348