Base | Representation |
---|---|
bin | 1000000000110011010… |
… | …0011111000111110100 |
3 | 111011022100100201021210 |
4 | 2000030310133013310 |
5 | 4223403413222103 |
6 | 143123135441420 |
7 | 12642124011642 |
oct | 2001464370764 |
9 | 434270321253 |
10 | 137654039028 |
11 | 53419130a20 |
12 | 22818086270 |
13 | cc99846ccc |
14 | 693bc38192 |
15 | 38a9cc1e03 |
hex | 200cd1f1f4 |
137654039028 has 96 divisors (see below), whose sum is σ = 353949805440. Its totient is φ = 41290560000.
The previous prime is 137654039023. The next prime is 137654039069. The reversal of 137654039028 is 820930456731.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (137654039023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16988178 + ... + 16996278.
It is an arithmetic number, because the mean of its divisors is an integer number (3686977140).
It is a 1-persistent number, because it is pandigital, but 2⋅137654039028 = 275308078056 is not.
Almost surely, 2137654039028 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 137654039028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176974902720).
137654039028 is an abundant number, since it is smaller than the sum of its proper divisors (216295766412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137654039028 is a wasteful number, since it uses less digits than its factorization.
137654039028 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9409 (or 9407 counting only the distinct ones).
The product of its (nonzero) digits is 1088640, while the sum is 48.
The spelling of 137654039028 in words is "one hundred thirty-seven billion, six hundred fifty-four million, thirty-nine thousand, twenty-eight".
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