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137836218795 = 35114120374903
BaseRepresentation
bin1000000001011110101…
…1011100100110101011
3111011210001011101221120
42000113223130212223
54224242033000140
6143153204310323
712646465346202
oct2002753344653
9434701141846
10137836218795
1153501a52310
12228690a23a3
13ccc85020a2
1469580dc239
1538bacab1d0
hex2017adc9ab

137836218795 has 32 divisors (see below), whose sum is σ = 246454838784. Its totient is φ = 65199686400.

The previous prime is 137836218763. The next prime is 137836218857. The reversal of 137836218795 is 597812638731.

It is a happy number.

137836218795 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137836218795 - 25 = 137836218763 is a prime.

It is a super-2 number, since 2×1378362187952 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10180687 + ... + 10194216.

It is an arithmetic number, because the mean of its divisors is an integer number (7701713712).

Almost surely, 2137836218795 is an apocalyptic number.

137836218795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137836218795 is a deficient number, since it is larger than the sum of its proper divisors (108618619989).

137836218795 is a wasteful number, since it uses less digits than its factorization.

137836218795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20374963.

The product of its digits is 15240960, while the sum is 60.

The spelling of 137836218795 in words is "one hundred thirty-seven billion, eight hundred thirty-six million, two hundred eighteen thousand, seven hundred ninety-five".

Divisors: 1 3 5 11 15 33 41 55 123 165 205 451 615 1353 2255 6765 20374903 61124709 101874515 224123933 305623545 672371799 835371023 1120619665 2506113069 3361858995 4176855115 9189081253 12530565345 27567243759 45945406265 137836218795