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27138735614232 = 23321123115098211
BaseRepresentation
bin1100010101110101110101…
…01100100010100100011000
310120002102211010221220120200
412022322322230202210120
512024120112304123412
6133415210225222200
75500465111401414
oct612727254424430
9116072733856520
1027138735614232
118713522826800
123063803791960
13121b230555898
1469b743bd1d44
15320e1a29d9dc
hex18aebab22918

27138735614232 has 72 divisors (see below), whose sum is σ = 80790072128220. Its totient is φ = 8223859274400.

The previous prime is 27138735614231. The next prime is 27138735614233. The reversal of 27138735614232 is 23241653783172.

It is a happy number.

27138735614232 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 8 + 7 + 3 + 561 + 42 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (27138735614231) and next prime (27138735614233).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27138735614231) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1557540394 + ... + 1557557817.

Almost surely, 227138735614232 is an apocalyptic number.

27138735614232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27138735614232 is an abundant number, since it is smaller than the sum of its proper divisors (53651336513988).

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

27138735614232 is a wasteful number, since it uses less digits than its factorization.

27138735614232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115098245 (or 3115098227 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 27138735614232 in words is "twenty-seven trillion, one hundred thirty-eight billion, seven hundred thirty-five million, six hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 3115098211 6230196422 9345294633 12460392844 18690589266 24920785688 28035883899 34266080321 37381178532 56071767798 68532160642 74762357064 102798240963 112143535596 137064321284 205596481926 224287071192 274128642568 308394722889 376926883531 411192963852 616789445778 753853767062 822385927704 1130780650593 1233578891556 1507707534124 2261561301186 2467157783112 3015415068248 3392341951779 4523122602372 6784683903558 9046245204744 13569367807116 27138735614232