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27893071201941 = 3311557168610529
BaseRepresentation
bin1100101011110010111001…
…00110011100011010010101
310122202112220002110011012000
412111321130212130122111
512124000002211430231
6135153522222545513
75606131210164201
oct625713446343225
9118675802404160
1027893071201941
118984426582690
123165a45138299
1312743c7a6214a
146c6063575b01
1533586965e6e6
hex195e5c99c695

27893071201941 has 32 divisors (see below), whose sum is σ = 45160644355200. Its totient is φ = 16874541642240.

The previous prime is 27893071201921. The next prime is 27893071201981. The reversal of 27893071201941 is 14910217039872.

27893071201941 is a `hidden beast` number, since 27 + 8 + 9 + 307 + 120 + 194 + 1 = 666.

It is not a de Polignac number, because 27893071201941 - 238 = 27618193294997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27893071201921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84139836 + ... + 84470693.

It is an arithmetic number, because the mean of its divisors is an integer number (1411270136100).

Almost surely, 227893071201941 is an apocalyptic number.

It is an amenable number.

27893071201941 is a deficient number, since it is larger than the sum of its proper divisors (17267573153259).

27893071201941 is a wasteful number, since it uses less digits than its factorization.

27893071201941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168611106 (or 168611100 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 27893071201941 in words is "twenty-seven trillion, eight hundred ninety-three billion, seventy-one million, two hundred one thousand, nine hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 557 1671 5013 6127 15039 18381 55143 165429 168610529 505831587 1517494761 1854715819 4552484283 5564147457 16692442371 50077327113 93916064653 281748193959 845244581877 1033076711183 2535733745631 3099230133549 9297690400647 27893071201941