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613144025060224 = 2772700113963567
BaseRepresentation
bin1000101101101001101011011…
…1110011110101001110000000
32222101221222220022221211100111
42023122122313303311032000
51120331222430403411344
610012014250534001104
7243102123345660400
oct21332326763651600
92871858808854314
10613144025060224
11168403a14573129
12589275054a6194
1320418305c11168
14ab5a4872ba800
154ad443aaeb834
hex22da6b7cf5380

613144025060224 has 96 divisors (see below), whose sum is σ = 1421129147081760. Its totient is φ = 262738457856000.

The previous prime is 613144025060183. The next prime is 613144025060299. The reversal of 613144025060224 is 422060520441316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36928489 + ... + 50892055.

It is an arithmetic number, because the mean of its divisors is an integer number (14803428615435).

Almost surely, 2613144025060224 is an apocalyptic number.

613144025060224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613144025060224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710564573540880).

613144025060224 is an abundant number, since it is smaller than the sum of its proper divisors (807985122021536).

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

613144025060224 is a wasteful number, since it uses less digits than its factorization.

613144025060224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13970596 (or 13970577 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 613144025060224 in words is "six hundred thirteen trillion, one hundred forty-four billion, twenty-five million, sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 7001 14002 28004 49007 56008 98014 112016 196028 224032 343049 392056 448064 686098 784112 896128 1372196 1568224 2744392 3136448 5488784 6272896 10977568 13963567 21955136 27927134 43910272 55854268 97744969 111708536 195489938 223417072 390979876 446834144 684214783 781959752 893668288 1368429566 1563919504 1787336576 2736859132 3127839008 5473718264 6255678016 10947436528 12511356032 21894873056 43789746112 87579492224 97758932567 195517865134 391035730268 684312527969 782071460536 1368625055938 1564142921072 2737250111876 3128285842144 4790187695783 5474500223752 6256571684288 9580375391566 10949000447504 12513143368576 19160750783132 21898000895008 38321501566264 43796001790016 76643003132528 87592003580032 153286006265056 306572012530112 613144025060224