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1993416181 = 29371857797
BaseRepresentation
bin111011011010001…
…0001110111110101
312010220222000220221
41312310101313311
513040303304211
6525445454341
7100253520661
oct16664216765
95126860827
101993416181
11933260099
124777113b1
13259cb0703
1414ca638a1
15ba011c71
hex76d11df5

1993416181 has 8 divisors (see below), whose sum is σ = 2117889720. Its totient is φ = 1872658368.

The previous prime is 1993416167. The next prime is 1993416199. The reversal of 1993416181 is 1816143991.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1357922500 + 635493681 = 36850^2 + 25209^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1993416181 - 25 = 1993416149 is a prime.

It is a super-2 number, since 2×19934161812 = 7947416141345249522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993416101) 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 7 ways as a sum of consecutive naturals, for example, 927826 + ... + 929971.

It is an arithmetic number, because the mean of its divisors is an integer number (264736215).

Almost surely, 21993416181 is an apocalyptic number.

It is an amenable number.

1993416181 is a deficient number, since it is larger than the sum of its proper divisors (124473539).

1993416181 is a wasteful number, since it uses less digits than its factorization.

1993416181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857863.

The product of its digits is 46656, while the sum is 43.

The square root of 1993416181 is about 44647.6895370858. The cubic root of 1993416181 is about 1258.5370147181.

The spelling of 1993416181 in words is "one billion, nine hundred ninety-three million, four hundred sixteen thousand, one hundred eighty-one".

Divisors: 1 29 37 1073 1857797 53876113 68738489 1993416181