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9872044111 = 1937101257541
BaseRepresentation
bin10010011000110101…
…10111000001001111
3221110222222210122101
421030122313001033
5130204220402421
64311332055531
7466431663466
oct111432670117
927428883571
109872044111
114206569946
121ab61645a7
13c14339227
146991759dd
153cba35191
hex24c6b704f

9872044111 has 32 divisors (see below), whose sum is σ = 10840086720. Its totient is φ = 8957952000.

The previous prime is 9872044093. The next prime is 9872044139. The reversal of 9872044111 is 1114402789.

9872044111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 15-Lehmer number, since φ(9872044111) divides (9872044111-1)15.

It is a cyclic number.

It is not a de Polignac number, because 9872044111 - 221 = 9869946959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9872044141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18247501 + ... + 18248041.

It is an arithmetic number, because the mean of its divisors is an integer number (338752710).

Almost surely, 29872044111 is an apocalyptic number.

9872044111 is a deficient number, since it is larger than the sum of its proper divisors (968042609).

9872044111 is a wasteful number, since it uses less digits than its factorization.

9872044111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 9872044111 is about 99358.1607669949. The cubic root of 9872044111 is about 2145.2061288933.

The spelling of 9872044111 in words is "nine billion, eight hundred seventy-two million, forty-four thousand, one hundred eleven".

Divisors: 1 19 37 101 257 541 703 1919 3737 4883 9509 10279 20017 25957 54641 71003 139037 180671 380323 493183 960409 1038179 2021717 2641703 5144369 14042737 18247771 38412623 97743011 266812003 519581269 9872044111