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27071638542 = 23213176805339
BaseRepresentation
bin11001001101100110…
…000110110000001110
32120212200001201122100
4121031212012300032
5420420314413132
620234143055530
71645601062614
oct311546066016
976780051570
1027071638542
11105322637a3
1252b62a15a6
1327257a4140
14144b56d6b4
15a869d637c
hex64d986c0e

27071638542 has 48 divisors (see below), whose sum is σ = 66882881520. Its totient is φ = 7839749376.

The previous prime is 27071638541. The next prime is 27071638567. The reversal of 27071638542 is 24583617072.

27071638542 is a `hidden beast` number, since 2 + 7 + 0 + 7 + 1 + 638 + 5 + 4 + 2 = 666.

It is a super-2 number, since 2×270716385422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27071638541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3398692 + ... + 3406647.

It is an arithmetic number, because the mean of its divisors is an integer number (1393393365).

Almost surely, 227071638542 is an apocalyptic number.

27071638542 is an abundant number, since it is smaller than the sum of its proper divisors (39811242978).

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

27071638542 is a wasteful number, since it uses less digits than its factorization.

27071638542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805377 (or 6805374 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27071638542 in words is "twenty-seven billion, seventy-one million, six hundred thirty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 6805339 13610678 20416017 40832034 61248051 88469407 115690763 122496102 176938814 231381526 265408221 347072289 530816442 694144578 796224663 1041216867 1503979919 1592449326 2082433734 3007959838 4511939757 9023879514 13535819271 27071638542