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27405434112 = 283714934213
BaseRepresentation
bin11001100001011111…
…011011110100000000
32121201221011022002020
4121201133123310000
5422111242342422
620331225321440
71660063226550
oct314137336400
977657138066
1027405434112
1110693720301
12538a036280
1327799a5704
14147da1d160
15aa5e6d95c
hex6617dbd00

27405434112 has 144 divisors (see below), whose sum is σ = 83920099200. Its totient is φ = 7777345536.

The previous prime is 27405434107. The next prime is 27405434113. The reversal of 27405434112 is 21143450472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27405434113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783918 + ... + 818130.

Almost surely, 227405434112 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 27405434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41960049600).

27405434112 is an abundant number, since it is smaller than the sum of its proper divisors (56514665088).

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

27405434112 is a wasteful number, since it uses less digits than its factorization.

27405434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34388 (or 34374 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 27405434112 its reverse (21143450472), we get a palindrome (48548884584).

The spelling of 27405434112 in words is "twenty-seven billion, four hundred five million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 149 168 192 224 256 298 336 384 447 448 596 672 768 894 896 1043 1192 1344 1788 1792 2086 2384 2688 3129 3576 4172 4768 5376 6258 7152 8344 9536 12516 14304 16688 19072 25032 28608 33376 34213 38144 50064 57216 66752 68426 100128 102639 114432 133504 136852 200256 205278 239491 267008 273704 400512 410556 478982 547408 718473 801024 821112 957964 1094816 1436946 1642224 1915928 2189632 2873892 3284448 3831856 4379264 5097737 5747784 6568896 7663712 8758528 10195474 11495568 13137792 15293211 15327424 20390948 22991136 26275584 30586422 30654848 35684159 40781896 45982272 61172844 61309696 71368318 81563792 91964544 107052477 122345688 142736636 163127584 183929088 214104954 244691376 285473272 326255168 428209908 489382752 570946544 652510336 856419816 978765504 1141893088 1305020672 1712839632 1957531008 2283786176 3425679264 3915062016 4567572352 6851358528 9135144704 13702717056 27405434112