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10460112066 = 2341910133647
BaseRepresentation
bin10011011110111100…
…01010010011000010
3222222222112202020000
421233132022103002
5132410242041231
64445540300430
7520132325355
oct115736122302
928888482200
1010460112066
114488508018
12203b0a1716
13ca9117a31
147132d429c
154134976e6
hex26f78a4c2

10460112066 has 80 divisors (see below), whose sum is σ = 24917016960. Its totient is φ = 3270391200.

The previous prime is 10460112043. The next prime is 10460112073. The reversal of 10460112066 is 66021106401.

10460112066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 294055 + ... + 327701.

It is an arithmetic number, because the mean of its divisors is an integer number (311462712).

Almost surely, 210460112066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10460112066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12458508480).

10460112066 is an abundant number, since it is smaller than the sum of its proper divisors (14456904894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10460112066 is a wasteful number, since it uses less digits than its factorization.

10460112066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33781 (or 33772 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10460112066 its reverse (66021106401), we get a palindrome (76481218467).

The spelling of 10460112066 in words is "ten billion, four hundred sixty million, one hundred twelve thousand, sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 101 114 162 171 202 303 342 513 606 909 1026 1539 1818 1919 2727 3078 3838 5454 5757 8181 11514 16362 17271 33647 34542 51813 67294 100941 103626 155439 201882 302823 310878 605646 639293 908469 1278586 1816938 1917879 2725407 3398347 3835758 5450814 5753637 6796694 10195041 11507274 17260911 20390082 30585123 34521822 51782733 61170246 64568593 91755369 103565466 129137186 183510738 193705779 275266107 387411558 550532214 581117337 1162234674 1743352011 3486704022 5230056033 10460112066