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1064026810112 = 28710123832467
BaseRepresentation
bin11110111101111001111…
…00001010011100000000
310202201102212011101020112
433132330330022130000
5114413111330410422
62132450203130452
7136605401441630
oct17367474123400
93681385141215
101064026810112
11380284438aa2
12152270513a28
13794500734b6
14396dba2c6c0
151ca27787ee2
hexf7bcf0a700

1064026810112 has 144 divisors (see below), whose sum is σ = 2453366694912. Its totient is φ = 451124121600.

The previous prime is 1064026810109. The next prime is 1064026810117. The reversal of 1064026810112 is 2110186204601.

It is a super-2 number, since 2×10640268101122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064026810117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431302703 + ... + 431305169.

Almost surely, 21064026810112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064026810112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226683347456).

1064026810112 is an abundant number, since it is smaller than the sum of its proper divisors (1389339884800).

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

1064026810112 is a wasteful number, since it uses less digits than its factorization.

1064026810112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 1064026810112 in words is "one trillion, sixty-four billion, twenty-six million, eight hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 256 404 448 707 808 896 1414 1616 1792 2383 2467 2828 3232 4766 4934 5656 6464 9532 9868 11312 12928 16681 17269 19064 19736 22624 25856 33362 34538 38128 39472 45248 66724 69076 76256 78944 90496 133448 138152 152512 157888 180992 240683 249167 266896 276304 305024 315776 481366 498334 533792 552608 610048 631552 962732 996668 1067584 1105216 1684781 1744169 1925464 1993336 2135168 2210432 3369562 3488338 3850928 3986672 4270336 4420864 5878861 6739124 6976676 7701856 7973344 11757722 13478248 13953352 15403712 15946688 23515444 26956496 27906704 30807424 31893376 41152027 47030888 53912992 55813408 61614848 63786752 82304054 94061776 107825984 111626816 164608108 188123552 215651968 223253632 329216216 376247104 431303936 446507264 593764961 658432432 752494208 1187529922 1316864864 1504988416 2375059844 2633729728 4156354727 4750119688 5267459456 8312709454 9500239376 10534918912 16625418908 19000478752 33250837816 38000957504 66501675632 76001915008 133003351264 152003830016 266006702528 532013405056 1064026810112