Base | Representation |
---|---|
bin | 111111101111001… |
… | …0011010010010110 |
3 | 12112001020122221000 |
4 | 1333132103102112 |
5 | 13334443243000 |
6 | 552114404130 |
7 | 103666136316 |
oct | 17736232226 |
9 | 5461218830 |
10 | 2138649750 |
11 | 9a8237236 |
12 | 4b8290646 |
13 | 281100c33 |
14 | 16406b446 |
15 | c7b4e000 |
hex | 7f793496 |
2138649750 has 128 divisors (see below), whose sum is σ = 5991822720. Its totient is φ = 564480000.
The previous prime is 2138649743. The next prime is 2138649787. The reversal of 2138649750 is 579468312.
2138649750 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (45).
2138649750 is strictly pandigital in base 10.
It is a junction number, because it is equal to n+sod(n) for n = 2138649696 and 2138649705.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680182 + ... + 683318.
It is an arithmetic number, because the mean of its divisors is an integer number (46811115).
It is a 1-persistent number, because it is pandigital, but 2⋅2138649750 = 4277299500 is not.
Almost surely, 22138649750 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2138649750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995911360).
2138649750 is an abundant number, since it is smaller than the sum of its proper divisors (3853172970).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2138649750 is a wasteful number, since it uses less digits than its factorization.
2138649750 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3264 (or 3248 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The square root of 2138649750 is about 46245.5376225642. The cubic root of 2138649750 is about 1288.3876556958.
The spelling of 2138649750 in words is "two billion, one hundred thirty-eight million, six hundred forty-nine thousand, seven hundred fifty".
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