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136221982785 = 32572411506797
BaseRepresentation
bin111111011011101110…
…1101000000001000001
3111000121112200201102200
41332313131220001001
54212440311422120
6142325101503413
712561464514600
oct1766735500101
9430545621380
10136221982785
1152853837969
1222498571b69
13cacbc53655
14684397da37
1538241e8e90
hex1fb7768041

136221982785 has 72 divisors (see below), whose sum is σ = 281367404136. Its totient is φ = 60754014720.

The previous prime is 136221982777. The next prime is 136221982789. The reversal of 136221982785 is 587289122631.

136221982785 is a `hidden beast` number, since 1 + 3 + 622 + 1 + 9 + 8 + 2 + 7 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18995179329 + 117226803456 = 137823^2 + 342384^2 .

It is not a de Polignac number, because 136221982785 - 23 = 136221982777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (136221982789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 662994 + ... + 843803.

It is an arithmetic number, because the mean of its divisors is an integer number (3907880613).

Almost surely, 2136221982785 is an apocalyptic number.

136221982785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136221982785 is an abundant number, since it is smaller than the sum of its proper divisors (145145421351).

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

136221982785 is a wasteful number, since it uses less digits than its factorization.

136221982785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506863 (or 1506853 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 136221982785 in words is "one hundred thirty-six billion, two hundred twenty-one million, nine hundred eighty-two thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 49 63 105 123 147 205 245 287 315 369 441 615 735 861 1435 1845 2009 2205 2583 4305 6027 10045 12915 18081 30135 90405 1506797 4520391 7533985 10547579 13561173 22601955 31642737 52737895 61778677 67805865 73833053 94928211 158213685 185336031 221499159 308893385 369165265 432450739 474641055 556008093 664497477 926680155 1107495795 1297352217 2162253695 2780040465 3027155173 3322487385 3892056651 6486761085 9081465519 15135775865 19460283255 27244396557 45407327595 136221982785