Search a number
-
+
136416061215 = 32577914936791
BaseRepresentation
bin111111100001100000…
…1111110011100011111
3111001010001212220222200
41333003001332130133
54213340002424330
6142400233342543
712566342250120
oct1770301763437
9431101786880
10136416061215
1152943345965
1222531567a53
13cb30216565
146861660047
153836283a60
hex1fc307e71f

136416061215 has 96 divisors (see below), whose sum is σ = 275498496000. Its totient is φ = 61157341440.

The previous prime is 136416061211. The next prime is 136416061217. The reversal of 136416061215 is 512160614631.

136416061215 is a `hidden beast` number, since 1 + 3 + 6 + 41 + 606 + 1 + 2 + 1 + 5 = 666.

It is not a de Polignac number, because 136416061215 - 22 = 136416061211 is a prime.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 136416061215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136416061211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3689470 + ... + 3726260.

It is an arithmetic number, because the mean of its divisors is an integer number (2869776000).

Almost surely, 2136416061215 is an apocalyptic number.

136416061215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

136416061215 is an abundant number, since it is smaller than the sum of its proper divisors (139082434785).

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

136416061215 is a wasteful number, since it uses less digits than its factorization.

136416061215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37037 (or 37034 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 136416061215 its reverse (512160614631), we get a palindrome (648576675846).

The spelling of 136416061215 in words is "one hundred thirty-six billion, four hundred sixteen million, sixty-one thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 79 105 149 237 315 395 447 553 711 745 1043 1185 1341 1659 2235 2765 3129 3555 4977 5215 6705 8295 9387 11771 15645 24885 35313 36791 46935 58855 82397 105939 110373 176565 183955 247191 257537 331119 411985 529695 551865 741573 772611 1235955 1287685 1655595 2317833 2906489 3707865 3863055 5481859 8719467 11589165 14532445 16445577 20345423 26158401 27409295 38373013 43597335 49336731 61036269 82227885 101727115 115119039 130792005 183108807 191865065 246683655 305181345 345357117 433066861 575595195 915544035 1299200583 1726785585 2165334305 3031468027 3897601749 6496002915 9094404081 15157340135 19488008745 27283212243 45472020405 136416061215