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136612166336 = 2610363132843
BaseRepresentation
bin111111100111010111…
…0000011101011000000
3111001121201220002122022
41333032232003223000
54214240203310321
6142431520501012
712604243153142
oct1771656035300
9431551802568
10136612166336
1152a34008608
122258717a768
13cb61a38aa9
14687d70ac92
1538485bddab
hex1fceb83ac0

136612166336 has 56 divisors (see below), whose sum is σ = 274163844864. Its totient is φ = 67533661440.

The previous prime is 136612166321. The next prime is 136612166417. The reversal of 136612166336 is 633661216631.

It is a super-3 number, since 3×1366121663363 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4143131 + ... + 4175973.

It is an arithmetic number, because the mean of its divisors is an integer number (4895782944).

Almost surely, 2136612166336 is an apocalyptic number.

136612166336 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 136612166336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137081922432).

136612166336 is an abundant number, since it is smaller than the sum of its proper divisors (137551678528).

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

136612166336 is a wasteful number, since it uses less digits than its factorization.

136612166336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33589 (or 33579 counting only the distinct ones).

The product of its digits is 419904, while the sum is 44.

The spelling of 136612166336 in words is "one hundred thirty-six billion, six hundred twelve million, one hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 103 206 412 631 824 1262 1648 2524 3296 5048 6592 10096 20192 32843 40384 64993 65686 129986 131372 259972 262744 519944 525488 1039888 1050976 2079776 2101952 3382829 4159552 6765658 13531316 20723933 27062632 41447866 54125264 82895732 108250528 165791464 216501056 331582928 663165856 1326331712 2134565099 4269130198 8538260396 17076520792 34153041584 68306083168 136612166336