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27007400706736 = 24171371494864151
BaseRepresentation
bin1100010010000001001101…
…00001101000001010110000
310112121212211012011100010111
412021000212201220022300
512014442124040103421
6133235010102311104
75455135365165442
oct611004641501260
9115555735140114
1027007400706736
11867285768793a
12304226ba28494
13120ba2cc43478
1469524531a492
1531c7d0151ee1
hex1890268682b0

27007400706736 has 80 divisors (see below), whose sum is σ = 56183874091200. Its totient is φ = 12531918233600.

The previous prime is 27007400706623. The next prime is 27007400706743. The reversal of 27007400706736 is 63760700470072.

It is a self number, because there is not a number n which added to its sum of digits gives 27007400706736.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3120261 + ... + 7984411.

It is an arithmetic number, because the mean of its divisors is an integer number (702298426140).

Almost surely, 227007400706736 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 27007400706736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28091937045600).

27007400706736 is an abundant number, since it is smaller than the sum of its proper divisors (29176473384464).

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

27007400706736 is a wasteful number, since it uses less digits than its factorization.

27007400706736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864462 (or 4864456 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 49.

The spelling of 27007400706736 in words is "twenty-seven trillion, seven billion, four hundred million, seven hundred six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 137 149 272 274 298 548 596 1096 1192 2192 2329 2384 2533 4658 5066 9316 10132 18632 20264 20413 37264 40528 40826 81652 163304 326608 347021 694042 1388084 2776168 4864151 5552336 9728302 19456604 38913208 77826416 82690567 165381134 330762268 661524536 666388687 724758499 1323049072 1332777374 1449516998 2665554748 2899033996 5331109496 5798067992 10662218992 11328607679 11596135984 12320894483 22657215358 24641788966 45314430716 49283577932 90628861432 98567155864 99291914363 181257722864 197134311728 198583828726 397167657452 794335314904 1588670629808 1687962544171 3375925088342 6751850176684 13503700353368 27007400706736