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26164426117016 = 231179107297111839
BaseRepresentation
bin1011111001011111000010…
…10100110000111110011000
310102122021221211202020122202
411330233201110300332120
511412134221041221031
6131351434343305332
75340213604331405
oct574574124607630
9112567854666582
1026164426117016
1183782a848a8a0
122b26a1144b248
13117a3aa888ba5
146665177172ac
153058e41532cb
hex17cbe1530f98

26164426117016 has 128 divisors (see below), whose sum is σ = 54725124096000. Its totient is φ = 11627738179200.

The previous prime is 26164426117003. The next prime is 26164426117051. The reversal of 26164426117016 is 61071162446162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2210014025 + ... + 2210025863.

It is an arithmetic number, because the mean of its divisors is an integer number (427540032000).

Almost surely, 226164426117016 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 26164426117016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27362562048000).

26164426117016 is an abundant number, since it is smaller than the sum of its proper divisors (28560697978984).

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

26164426117016 is a wasteful number, since it uses less digits than its factorization.

26164426117016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15013 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 26164426117016 in words is "twenty-six trillion, one hundred sixty-four billion, four hundred twenty-six million, one hundred seventeen thousand, sixteen".

Divisors: 1 2 4 8 11 22 44 79 88 107 158 214 316 428 632 856 869 1177 1738 2354 2971 3476 4708 5942 6952 8453 9416 11839 11884 16906 23678 23768 32681 33812 47356 65362 67624 92983 94712 130229 130724 185966 234709 260458 261448 317897 371932 469418 520916 635794 743864 935281 938836 1041832 1266773 1271588 1870562 1877672 2533546 2543176 2581799 3496867 3741124 5067092 5163598 6993734 7482248 10134184 10288091 10327196 13934503 13987468 20576182 20654392 25113863 27869006 27974936 35173669 41152364 50227726 55738012 70347338 82304728 100075067 100455452 111476024 140694676 200150134 200910904 276252493 281389352 386910359 400300268 552504986 773820718 800600536 1100825737 1105009972 1547641436 2201651474 2210019944 2778719851 3095282872 3763582583 4403302948 5557439702 7527165166 8806605896 11114879404 15054330332 22229758808 30108660664 30565918361 41399408413 61131836722 82798816826 122263673444 165597633652 244527346888 297323024057 331195267304 594646048114 1189292096228 2378584192456 3270553264627 6541106529254 13082213058508 26164426117016