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405107999089011 = 32193816128577723
BaseRepresentation
bin101110000011100011000111…
…0011000011010000101110011
31222010100221112222201102001200
41130013012032120122011303
5411044242140231322021
63553332013502502243
7151221041603540301
oct13407061630320563
91863327488642050
10405107999089011
11108097379384219
1239528789294983
131450769c405cca
14720749055d271
1531c7bc6e55126
hex170718e61a173

405107999089011 has 24 divisors (see below), whose sum is σ = 588259988652336. Its totient is φ = 268639731671040.

The previous prime is 405107999088971. The next prime is 405107999089081. The reversal of 405107999089011 is 110980999701504.

405107999089011 is a `hidden beast` number, since 40 + 510 + 79 + 9 + 9 + 0 + 8 + 9 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 405107999089011 - 214 = 405107999072627 is a prime.

It is a super-2 number, since 2×4051079990890112 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 405107999089011.

It is not an unprimeable number, because it can be changed into a prime (405107999089081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113205 + ... + 28464518.

It is an arithmetic number, because the mean of its divisors is an integer number (24510832860514).

Almost surely, 2405107999089011 is an apocalyptic number.

405107999089011 is a deficient number, since it is larger than the sum of its proper divisors (183151989563325).

405107999089011 is a wasteful number, since it uses less digits than its factorization.

405107999089011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28586083 (or 28586080 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 63.

The spelling of 405107999089011 in words is "four hundred five trillion, one hundred seven billion, nine hundred ninety-nine million, eighty-nine thousand, eleven".

Divisors: 1 3 9 193 579 1737 8161 24483 73449 1575073 4725219 14175657 28577723 85733169 257199507 5515500539 16546501617 49639504851 233222797403 699668392209 2099005176627 45011999898779 135035999696337 405107999089011