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26243121077264 = 2472136014284317
BaseRepresentation
bin1011111011110001100111…
…11010001101110000010000
310102220211002020012102200002
411331320303322031300100
511414431402443433024
6131451531241345132
75346001001422400
oct575706372156020
9112824066172602
1026243121077264
1183a8710767223
122b3a1141981a8
13118493c50cb20
1466a26101c800
1530799cc886ae
hex17de33e8dc10

26243121077264 has 120 divisors (see below), whose sum is σ = 63803246127768. Its totient is φ = 10364617267200.

The previous prime is 26243121077249. The next prime is 26243121077291. The reversal of 26243121077264 is 46277012134262.

It can be written as a sum of positive squares in 4 ways, for example, as 1223917390864 + 25019203686400 = 1106308^2 + 5001920^2 .

It is a super-3 number, since 3×262431210772643 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3983234 + ... + 8267550.

Almost surely, 226243121077264 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 26243121077264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31901623063884).

26243121077264 is an abundant number, since it is smaller than the sum of its proper divisors (37560125050504).

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

26243121077264 is a wasteful number, since it uses less digits than its factorization.

26243121077264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284953 (or 4284940 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 26243121077264 in words is "twenty-six trillion, two hundred forty-three billion, one hundred twenty-one million, seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 601 637 728 784 1202 1274 1456 2404 2548 4207 4808 5096 7813 8414 9616 10192 15626 16828 29449 31252 33656 54691 58898 62504 67312 109382 117796 125008 218764 235592 382837 437528 471184 765674 875056 1531348 3062696 4284317 6125392 8568634 17137268 29990219 34274536 55696121 59980438 68549072 111392242 119960876 209931533 222784484 239921752 389872847 419863066 445568968 479843504 779745694 839726132 891137936 1559491388 1679452264 2574874517 2729109929 3118982776 3358904528 5149749034 5458219858 6237965552 10299498068 10916439716 18024121619 20598996136 21832879432 33473368721 36048243238 41197992272 43665758864 66946737442 72096486476 126168851333 133893474884 144192972952 234313581047 252337702666 267786949768 288385945904 468627162094 504675405332 535573899536 937254324188 1009350810664 1640195067329 1874508648376 2018701621328 3280390134658 3749017296752 6560780269316 13121560538632 26243121077264