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26038109097 = 3471113595443
BaseRepresentation
bin11000001111111111…
…100000001110101001
32111012122021222210000
4120033333200032221
5411311223442342
615543423013213
71611151163340
oct301777401651
974178258700
1026038109097
1110051919830
12506813a209
1325bc627660
1413901b4b57
15a25dd044c
hex60ffe03a9

26038109097 has 160 divisors (see below), whose sum is σ = 53119503360. Its totient is φ = 12271927680.

The previous prime is 26038109023. The next prime is 26038109113. The reversal of 26038109097 is 79090183062.

26038109097 is a `hidden beast` number, since 260 + 381 + 0 + 9 + 0 + 9 + 7 = 666.

It is not a de Polignac number, because 26038109097 - 210 = 26038108073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26038109897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4781058 + ... + 4786500.

It is an arithmetic number, because the mean of its divisors is an integer number (331996896).

Almost surely, 226038109097 is an apocalyptic number.

26038109097 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

26038109097 is an abundant number, since it is smaller than the sum of its proper divisors (27081394263).

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

26038109097 is a wasteful number, since it uses less digits than its factorization.

26038109097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 26038109097 in words is "twenty-six billion, thirty-eight million, one hundred nine thousand, ninety-seven".

Divisors: 1 3 7 9 11 13 21 27 33 39 59 63 77 81 91 99 117 143 177 189 231 273 297 351 413 429 531 567 649 693 767 819 891 1001 1053 1239 1287 1593 1947 2079 2301 2457 3003 3717 3861 4543 4779 5369 5443 5841 6237 6903 7371 8437 9009 11151 11583 13629 16107 16329 17523 20709 25311 27027 33453 38101 40887 48321 48987 52569 59059 59873 62127 70759 75933 81081 114303 122661 144963 146961 177177 179619 212277 227799 321137 342909 367983 419111 434889 440883 495313 531531 538857 636831 683397 778349 963411 1028727 1257333 1485939 1594593 1616571 1910493 2247959 2335047 2890233 3086181 3532507 3771999 4174781 4457817 4783779 4849713 5448443 5731479 6743877 7005141 8670699 10597521 11315997 12524343 13373451 16345329 20231631 21015423 24727549 26012097 29223467 31792563 33947991 37573029 40120353 45922591 49035987 60694893 63046269 74182647 87670401 95377689 112719087 137767773 147107961 182084679 222547941 263011203 286133067 321458137 338157261 413303319 441323883 667643823 789033609 964374411 1239909957 2002931469 2367100827 2893123233 3719729871 8679369699 26038109097