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27113753637542 = 211133710754144263
BaseRepresentation
bin1100010101000111010011…
…01001110111001010100110
310120000001100002222000002202
412022203221221313022212
512023212431412400132
6133355515250534502
75465622043164215
oct612435151671246
9116001302860082
1027113753637542
11870397308a980
12305a9b1297432
131218a7b98cb60
1469a453dbb07c
15320456e8b762
hex18a8e9a772a6

27113753637542 has 128 divisors (see below), whose sum is σ = 49623550276608. Its totient is φ = 10944965721600.

The previous prime is 27113753637539. The next prime is 27113753637563. The reversal of 27113753637542 is 24573635731172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612538103 + ... + 612582365.

It is an arithmetic number, because the mean of its divisors is an integer number (387683986536).

Almost surely, 227113753637542 is an apocalyptic number.

27113753637542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

27113753637542 is a deficient number, since it is larger than the sum of its proper divisors (22509796639066).

27113753637542 is a wasteful number, since it uses less digits than its factorization.

27113753637542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44974.

The product of its digits is 22226400, while the sum is 56.

The spelling of 27113753637542 in words is "twenty-seven trillion, one hundred thirteen billion, seven hundred fifty-three million, six hundred thirty-seven thousand, five hundred forty-two".

Divisors: 1 2 11 13 22 26 37 74 107 143 214 286 407 481 541 814 962 1082 1177 1391 2354 2782 3959 5291 5951 7033 7918 10582 11902 14066 15301 20017 30602 40034 43549 44263 51467 57887 77363 87098 88526 102934 115774 154726 220187 260221 440374 486893 520442 566137 575419 636757 752531 973786 1132274 1150838 1273514 1505062 1637731 2141819 2862431 3275462 4283638 4736141 5724862 6329609 8277841 9472282 12659218 16555682 18015041 21290503 23560009 23946283 27843647 36030082 42581006 47120018 47892566 52097551 55687294 61569833 104195102 123139666 175237217 234195533 263409113 306280117 311301679 350474434 468391066 526818226 612560234 622603358 677268163 886012471 1354536326 1772024942 1927609387 2278083821 2562252281 3424318469 3855218774 4556167642 5124504562 6848636938 9746137181 11518162123 19492274362 23036324246 25058922031 28184775091 33309279653 50117844062 56369550182 66618559306 94803334397 126699783353 189606668794 253399566706 366402076183 732804152366 1042836678367 1232443347161 2085673356734 2464886694322 13556876818771 27113753637542