Search a number
-
+
136072161745245 = 3251179181127915031
BaseRepresentation
bin11110111100000111000100…
…110111010101100101011101
3122211210101000220121022112100
4132330013010313111211131
5120313401241401321440
61201222404345355313
740442614006012605
oct3674070467254535
9584711026538470
10136072161745245
113a3a1974a02970
1213317843798b39
135ac071bb8890b
142585cdbb23c05
1510ae838804230
hex7bc1c4dd595d

136072161745245 has 192 divisors, whose sum is σ = 262218881433600. Its totient is φ = 64724422464000.

The previous prime is 136072161745229. The next prime is 136072161745283. The reversal of 136072161745245 is 542547161270631.

136072161745245 is a `hidden beast` number, since 1 + 3 + 60 + 72 + 1 + 61 + 7 + 452 + 4 + 5 = 666.

It is not a de Polignac number, because 136072161745245 - 24 = 136072161745229 is a prime.

It is a super-2 number, since 2×1360721617452452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136072161745191 and 136072161745200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9052760880 + ... + 9052775910.

It is an arithmetic number, because the mean of its divisors is an integer number (1365723340800).

Almost surely, 2136072161745245 is an apocalyptic number.

136072161745245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136072161745245 is a deficient number, since it is larger than the sum of its proper divisors (126146719688355).

136072161745245 is a wasteful number, since it uses less digits than its factorization.

136072161745245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16592 (or 16589 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 136072161745245 in words is "one hundred thirty-six trillion, seventy-two billion, one hundred sixty-one million, seven hundred forty-five thousand, two hundred forty-five".