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194354241327801 = 36197226212
BaseRepresentation
bin101100001100001110011111…
…100000111101001010111001
3221111011002021020122111000000
4230030032133200331022321
5200433244441234442201
61525205034511303213
755636426165360632
oct5414163740751271
9844132236574000
10194354241327801
1156a22197474635
121996b1a221ab09
13845a6ac416429
1435dcb1caba889
1517708ee69ed86
hexb0c39f83d2b9

194354241327801 has 63 divisors (see below), whose sum is σ = 292996534585213. Its totient is φ = 128862596852640.

The previous prime is 194354241327773. The next prime is 194354241327839. The reversal of 194354241327801 is 108723142453491.

The square root of 194354241327801 is 13941099.

It is a perfect power (a square), and thus also a powerful number.

194354241327801 is a `hidden beast` number, since 1 + 9 + 4 + 3 + 5 + 424 + 132 + 7 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136745777007225 + 57608464320576 = 11693835^2 + 7590024^2 .

It is a de Polignac number, because none of the positive numbers 2k-194354241327801 is a prime.

It is a super-2 number, since 2×1943542413278012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (194354241327871) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 74152704271 + ... + 74152706891.

Almost surely, 2194354241327801 is an apocalyptic number.

194354241327801 is the 13941099-th square number.

194354241327801 is the 6970550-th centered octagonal number.

It is an amenable number.

194354241327801 is a deficient number, since it is larger than the sum of its proper divisors (98642293257412).

194354241327801 is an frugal number, since it uses more digits than its factorization.

194354241327801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 194354241327801 in words is "one hundred ninety-four trillion, three hundred fifty-four billion, two hundred forty-one million, three hundred twenty-seven thousand, eight hundred one".

Divisors: 1 3 9 27 81 197 243 591 729 1773 2621 5319 7863 15957 23589 38809 47871 70767 116427 143613 212301 349281 516337 636903 1047843 1549011 1910709 3143529 4647033 6869641 9430587 13941099 20608923 28291761 41823297 61826769 101718389 125469891 185480307 305155167 376409673 556440921 915465501 1353319277 1669322763 2746396503 4059957831 5007968289 8239189509 12179873493 24717568527 36539620479 74152705581 109618861437 266603897569 328856584311 799811692707 986569752933 2399435078121 7198305234363 21594915703089 64784747109267 194354241327801