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26868004957656 = 2333675839317957
BaseRepresentation
bin1100001101111101100011…
…11001000010110111011000
310112010120000110110120211000
412012332301321002313120
512010201133232121111
6133050554023505000
75442102131651562
oct606766171026730
9115116013416730
1026868004957656
118619725395425
12301b2485b8160
1311cb846607bc5
1468c5c0060332
15318d724dcc56
hex186fb1e42dd8

26868004957656 has 128 divisors (see below), whose sum is σ = 75760488576000. Its totient is φ = 8820791312256.

The previous prime is 26868004957613. The next prime is 26868004957663. The reversal of 26868004957656 is 65675940086862.

26868004957656 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 8 + 0 + 0 + 49 + 576 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 84343030 + ... + 84660986.

It is an arithmetic number, because the mean of its divisors is an integer number (591878817000).

Almost surely, 226868004957656 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 26868004957656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37880244288000).

26868004957656 is an abundant number, since it is smaller than the sum of its proper divisors (48892483618344).

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

26868004957656 is a wasteful number, since it uses less digits than its factorization.

26868004957656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323878 (or 323868 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 26868004957656 in words is "twenty-six trillion, eight hundred sixty-eight billion, four million, nine hundred fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 5839 7236 11678 14472 17517 23356 35034 46712 52551 70068 105102 140136 157653 210204 315306 317957 391213 420408 630612 635914 782426 953871 1173639 1261224 1271828 1564852 1907742 2347278 2543656 2861613 3129704 3520917 3815484 4694556 5723226 7041834 7630968 8584839 9389112 10562751 11446452 14083668 17169678 21125502 21303119 22892904 28167336 34339356 42251004 42606238 63909357 68678712 84502008 85212476 127818714 170424952 191728071 255637428 383456142 511274856 575184213 766912284 1150368426 1533824568 1856550923 2300736852 3713101846 4601473704 5569652769 7426203692 11139305538 14852407384 16708958307 22278611076 33417916614 44557222152 50126874921 66835833228 100253749842 124388911841 133671666456 200507499684 248777823682 373166735523 401014999368 497555647364 746333471046 995111294728 1119500206569 1492666942092 2239000413138 2985333884184 3358500619707 4478000826276 6717001239414 8956001652552 13434002478828 26868004957656