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136627260336 = 243271091796947
BaseRepresentation
bin111111100111110011…
…1101000101110110000
3111001122210021221201100
41333033213220232300
54214303034312321
6142433220204400
712604515360030
oct1771747505660
9431583257640
10136627260336
1152a41587996
1222590239700
13cb64bc2158
1468817198c0
153849aa1326
hex1fcf9e8bb0

136627260336 has 240 divisors, whose sum is σ = 443526969600. Its totient is φ = 38456612352.

The previous prime is 136627260299. The next prime is 136627260353. The reversal of 136627260336 is 633062726631.

136627260336 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 2 + 7 + 2 + 603 + 36 = 666.

It is a super-2 number, since 2×1366272603362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136627260291 and 136627260300.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 19663615 + ... + 19670561.

It is an arithmetic number, because the mean of its divisors is an integer number (1848029040).

Almost surely, 2136627260336 is an apocalyptic number.

136627260336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136627260336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221763484800).

136627260336 is an abundant number, since it is smaller than the sum of its proper divisors (306899709264).

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

136627260336 is a wasteful number, since it uses less digits than its factorization.

136627260336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

Adding to 136627260336 its reverse (633062726631), we get a palindrome (769689986967).

The spelling of 136627260336 in words is "one hundred thirty-six billion, six hundred twenty-seven million, two hundred sixty thousand, three hundred thirty-six".