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194331128901 = 37133719238801
BaseRepresentation
bin1011010011111100001…
…0011011010001000101
3200120121021022012021120
42310333002123101011
511140442232111101
6225135142304153
720016464225010
oct2647702332105
9616537265246
10194331128901
1175462946468
12317b5128059
131542ca2cc90
14959726a377
1550c5948b36
hex2d3f09b445

194331128901 has 32 divisors (see below), whose sum is σ = 327521365248. Its totient is φ = 99733939200.

The previous prime is 194331128899. The next prime is 194331128923. The reversal of 194331128901 is 109821133491.

194331128901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 194331128901 - 21 = 194331128899 is a prime.

It is a super-3 number, since 3×1943311289013 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194331128941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9609300 + ... + 9629501.

It is an arithmetic number, because the mean of its divisors is an integer number (10235042664).

Almost surely, 2194331128901 is an apocalyptic number.

It is an amenable number.

194331128901 is a deficient number, since it is larger than the sum of its proper divisors (133190236347).

194331128901 is a wasteful number, since it uses less digits than its factorization.

194331128901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19238861.

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 194331128901 in words is "one hundred ninety-four billion, three hundred thirty-one million, one hundred twenty-eight thousand, nine hundred one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 19238801 57716403 134671607 250104413 404014821 711835637 750313239 1750730891 2135506911 4982849459 5252192673 9253863281 14948548377 27761589843 64777042967 194331128901