Base | Representation |
---|---|
bin | 1101110110101100001… |
… | …0100110100000000000 |
3 | 211202100221211022010010 |
4 | 3131223002212200000 |
5 | 12344430333423001 |
6 | 301202222104520 |
7 | 23124222334620 |
oct | 3355302464000 |
9 | 752327738103 |
10 | 238019045376 |
11 | 91a41600762 |
12 | 3a16811b140 |
13 | 195a2b65128 |
14 | b73d550880 |
15 | 62d10ab8d6 |
hex | 376b0a6800 |
238019045376 has 192 divisors, whose sum is σ = 740650659840. Its totient is φ = 66557952000.
The previous prime is 238019045359. The next prime is 238019045377. The reversal of 238019045376 is 673540910832.
238019045376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (238019045377) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1962501 + ... + 2080251.
It is an arithmetic number, because the mean of its divisors is an integer number (3857555520).
It is a 1-persistent number, because it is pandigital, but 2⋅238019045376 = 476038090752 is not.
Almost surely, 2238019045376 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 238019045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370325329920).
238019045376 is an abundant number, since it is smaller than the sum of its proper divisors (502631614464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238019045376 is a wasteful number, since it uses less digits than its factorization.
238019045376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 117830 (or 117810 counting only the distinct ones).
The product of its (nonzero) digits is 1088640, while the sum is 48.
The spelling of 238019045376 in words is "two hundred thirty-eight billion, nineteen million, forty-five thousand, three hundred seventy-six".
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