Base | Representation |
---|---|
bin | 11110111011010110100111… |
… | …100110001000111000000000 |
3 | 122211121101201210202011111000 |
4 | 132323112213212020320000 |
5 | 120312023212024334140 |
6 | 1201142441404052000 |
7 | 40436062435520130 |
oct | 3673264746107000 |
9 | 584541653664430 |
10 | 136020131089920 |
11 | 3a3818a4a65480 |
12 | 13309742834000 |
13 | 5ab88494ca4bc |
14 | 25835a3838ac0 |
15 | 10ad2e0a43a30 |
hex | 7bb5a7988e00 |
136020131089920 has 5120 divisors, whose sum is σ = 671292440248320. Its totient is φ = 25225592832000.
The previous prime is 136020131089901. The next prime is 136020131089939. The reversal of 136020131089920 is 29980131020631.
It is a happy number.
136020131089920 is a `hidden beast` number, since 1 + 3 + 602 + 0 + 1 + 3 + 10 + 8 + 9 + 9 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (136020131089901) and next prime (136020131089939).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
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 511 ways as a sum of consecutive naturals, for example, 339202321720 + ... + 339202322120.
It is an arithmetic number, because the mean of its divisors is an integer number (131111804736).
Almost surely, 2136020131089920 is an apocalyptic number.
136020131089920 is a gapful number since it is divisible by the number (10) 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 136020131089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335646220124160).
136020131089920 is an abundant number, since it is smaller than the sum of its proper divisors (535272309158400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
136020131089920 is a wasteful number, since it uses less digits than its factorization.
136020131089920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 654 (or 632 counting only the distinct ones).
The product of its (nonzero) digits is 139968, while the sum is 45.
The spelling of 136020131089920 in words is "one hundred thirty-six trillion, twenty billion, one hundred thirty-one million, eighty-nine thousand, nine hundred twenty".
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