Base | Representation |
---|---|
bin | 1000001100111101001111… |
… | …01111000000000000000000 |
3 | 2100212100122011001102200000 |
4 | 10012132213233000000000 |
5 | 4331011024214313434 |
6 | 102210131522400000 |
7 | 3541105064346240 |
oct | 406364757000000 |
9 | 70770564042600 |
10 | 18037381791744 |
11 | 5824679873717 |
12 | 2033922800000 |
13 | a0abc1555283 |
14 | 46502a357b20 |
15 | 2142d8ab4b99 |
hex | 1067a7bc0000 |
18037381791744 has 912 divisors, whose sum is σ = 65038431494400. Its totient is φ = 4880005595136.
The previous prime is 18037381791721. The next prime is 18037381791749. The reversal of 18037381791744 is 44719718373081.
It is a happy number.
18037381791744 is a `hidden beast` number, since 1 + 80 + 3 + 7 + 381 + 7 + 9 + 174 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (912).
It is a super-2 number, since 2×180373817917442 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (18037381791749) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8472230872 + ... + 8472233000.
Almost surely, 218037381791744 is an apocalyptic number.
18037381791744 is a gapful number since it is divisible by the number (14) 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 18037381791744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32519215747200).
18037381791744 is an abundant number, since it is smaller than the sum of its proper divisors (47001049702656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18037381791744 is an frugal number, since it uses more digits than its factorization.
18037381791744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2206 (or 2160 counting only the distinct ones).
The product of its (nonzero) digits is 28449792, while the sum is 63.
The spelling of 18037381791744 in words is "eighteen trillion, thirty-seven billion, three hundred eighty-one million, seven hundred ninety-one thousand, seven hundred forty-four".
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