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27005124342 = 23717181208963
BaseRepresentation
bin11001001001101000…
…010111111011110110
32120201000220110022110
4121021220113323312
5420301302434332
620223405311450
71644132524640
oct311150277366
976630813273
1027005124342
11104a8763689
125297b65586
132714a86121
1414427b7890
15a80c484cc
hex649a17ef6

27005124342 has 64 divisors (see below), whose sum is σ = 65718342144. Its totient is φ = 7221726720.

The previous prime is 27005124337. The next prime is 27005124353. The reversal of 27005124342 is 24342150072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24753 + ... + 233715.

It is an arithmetic number, because the mean of its divisors is an integer number (1026849096).

Almost surely, 227005124342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27005124342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32859171072).

27005124342 is an abundant number, since it is smaller than the sum of its proper divisors (38713217802).

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

27005124342 is a wasteful number, since it uses less digits than its factorization.

27005124342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209173.

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 27005124342 in words is "twenty-seven billion, five million, one hundred twenty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 181 238 357 362 543 714 1086 1267 2534 3077 3801 6154 7602 9231 18462 21539 43078 64617 129234 208963 417926 626889 1253778 1462741 2925482 3552371 4388223 7104742 8776446 10657113 21314226 24866597 37822303 49733194 74599791 75644606 113466909 149199582 226933818 264756121 529512242 642979151 794268363 1285958302 1588536726 1928937453 3857874906 4500854057 9001708114 13502562171 27005124342