Search a number
-
+
67138989968281 = 7111009939791961
BaseRepresentation
bin11110100010000000000111…
…01001011100101110011001
322210201102110122111110001111
433101000003221130232121
532300001122412441111
6354443120505220321
720066426521433230
oct1721000351345631
9283642418443044
1067138989968281
111a435538588830
127643b9ba916a1
132b602447287aa
141281789d9bb17
157b668c4aea21
hex3d1003a5cb99

67138989968281 has 32 divisors (see below), whose sum is σ = 83798540616960. Its totient is φ = 52258116556800.

The previous prime is 67138989968279. The next prime is 67138989968287. The reversal of 67138989968281 is 18286998983176.

It is a happy number.

It is not a de Polignac number, because 67138989968281 - 21 = 67138989968279 is a prime.

It is a super-2 number, since 2×671389899682812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67138989968287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730035141 + ... + 730127101.

It is an arithmetic number, because the mean of its divisors is an integer number (2618704394280).

Almost surely, 267138989968281 is an apocalyptic number.

It is an amenable number.

67138989968281 is a deficient number, since it is larger than the sum of its proper divisors (16659550648679).

67138989968281 is a wasteful number, since it uses less digits than its factorization.

67138989968281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102385.

The product of its digits is 4514807808, while the sum is 85.

The spelling of 67138989968281 in words is "sixty-seven trillion, one hundred thirty-eight billion, nine hundred eighty-nine million, nine hundred sixty-eight thousand, two hundred eighty-one".

Divisors: 1 7 11 77 1009 7063 9397 11099 65779 77693 91961 103367 643727 723569 1011571 7080997 9481573 66371011 92788649 104297303 649520543 730081121 864157517 1020675139 6049102619 7144725973 9505732687 66540128809 871934934653 6103544542571 9591284281183 67138989968281