Base | Representation |
---|---|
bin | 11111011101100010101000… |
… | …000101100111100000000000 |
3 | 200010220222211102100020211210 |
4 | 133131202220011213200000 |
5 | 121114021202012441421 |
6 | 1210142021535010120 |
7 | 41100602602563600 |
oct | 3735425005474000 |
9 | 603828742306753 |
10 | 138369486452736 |
11 | 400a81958aa100 |
12 | 13628b25069940 |
13 | 5c29256c06166 |
14 | 26251942b4c00 |
15 | 10ee49418b576 |
hex | 7dd8a8167800 |
138369486452736 has 1728 divisors, whose sum is σ = 512601747840000. Its totient is φ = 32945091379200.
The previous prime is 138369486452683. The next prime is 138369486452749. The reversal of 138369486452736 is 637254684963831.
It is a super-2 number, since 2×1383694864527362 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21455956840 + ... + 21455963288.
It is an arithmetic number, because the mean of its divisors is an integer number (296644530000).
Almost surely, 2138369486452736 is an apocalyptic number.
138369486452736 is a gapful number since it is divisible by the number (16) 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 138369486452736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256300873920000).
138369486452736 is an abundant number, since it is smaller than the sum of its proper divisors (374232261387264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138369486452736 is a wasteful number, since it uses less digits than its factorization.
138369486452736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6560 (or 6522 counting only the distinct ones).
The product of its digits is 3762339840, while the sum is 75.
The spelling of 138369486452736 in words is "one hundred thirty-eight trillion, three hundred sixty-nine billion, four hundred eighty-six million, four hundred fifty-two thousand, seven hundred thirty-six".
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