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135986908050 = 233527151157607
BaseRepresentation
bin111111010100101110…
…0111000101110010010
3111000000011100200112000
41332221130320232102
54212000122024200
6142245503214430
712552611434530
oct1765134705622
9430004320460
10135986908050
1152743078824
12224318a7416
13ca92338586
14682066b150
15380d762300
hex1fa9738b92

135986908050 has 384 divisors, whose sum is σ = 434547425280. Its totient is φ = 30629664000.

The previous prime is 135986908037. The next prime is 135986908069. The reversal of 135986908050 is 50809689531.

It is a happy number.

135986908050 is a `hidden beast` number, since 1 + 359 + 86 + 90 + 80 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224030847 + ... + 224031453.

It is an arithmetic number, because the mean of its divisors is an integer number (1131633920).

Almost surely, 2135986908050 is an apocalyptic number.

135986908050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135986908050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217273712640).

135986908050 is an abundant number, since it is smaller than the sum of its proper divisors (298560517230).

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

135986908050 is a wasteful number, since it uses less digits than its factorization.

135986908050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 135986908050 in words is "one hundred thirty-five billion, nine hundred eighty-six million, nine hundred eight thousand, fifty".