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6017140020 = 2235196778779
BaseRepresentation
bin1011001101010011…
…00100010100110100
3120112100022101100210
411212221210110310
544310341440040
62433024105420
7302052563163
oct54651442464
916470271323
106017140020
1126085783a1
1211bb165270
1374b7ba4a8
144111d13da
152533c1480
hex166a64534

6017140020 has 96 divisors (see below), whose sum is σ = 17999654400. Its totient is φ = 1497412224.

The previous prime is 6017140013. The next prime is 6017140037. The reversal of 6017140020 is 200417106.

It is a super-3 number, since 3×60171400203 (a number of 30 digits) contains 333 as substring.

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, 36991 + ... + 115769.

It is an arithmetic number, because the mean of its divisors is an integer number (187496400).

Almost surely, 26017140020 is an apocalyptic number.

6017140020 is a gapful number since it is divisible by the number (60) 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 6017140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999827200).

6017140020 is an abundant number, since it is smaller than the sum of its proper divisors (11982514380).

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

6017140020 is a wasteful number, since it uses less digits than its factorization.

6017140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78877 (or 78875 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 6017140020 is about 77570.2263758460. The cubic root of 6017140020 is about 1818.8492524336.

Adding to 6017140020 its reverse (200417106), we get a palindrome (6217557126).

The spelling of 6017140020 in words is "six billion, seventeen million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 380 402 570 670 804 1005 1140 1273 1340 2010 2546 3819 4020 5092 6365 7638 12730 15276 19095 25460 38190 76380 78779 157558 236337 315116 393895 472674 787790 945348 1181685 1496801 1575580 2363370 2993602 4490403 4726740 5278193 5987204 7484005 8980806 10556386 14968010 15834579 17961612 21112772 22452015 26390965 29936020 31669158 44904030 52781930 63338316 79172895 89808060 100285667 105563860 158345790 200571334 300857001 316691580 401142668 501428335 601714002 1002856670 1203428004 1504285005 2005713340 3008570010 6017140020