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5921318208 = 263137133413
BaseRepresentation
bin1011000001111000…
…00010010101000000
3120021200000010112210
411200330002111000
544111324140313
62415322222120
7266510242251
oct54074022500
916250003483
105921318208
112569480013
121193054940
137349aa6b0
144025aab28
15249c949c3
hex160f02540

5921318208 has 112 divisors (see below), whose sum is σ = 17110106496. Its totient is φ = 1796229120.

The previous prime is 5921318203. The next prime is 5921318209. The reversal of 5921318208 is 8028131295.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5921318201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160510 + ... + 193922.

It is an arithmetic number, because the mean of its divisors is an integer number (152768808).

Almost surely, 25921318208 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 5921318208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555053248).

5921318208 is an abundant number, since it is smaller than the sum of its proper divisors (11188788288).

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

5921318208 is a wasteful number, since it uses less digits than its factorization.

5921318208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33512 (or 33502 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 5921318208 is about 76950.1020662091. The cubic root of 5921318208 is about 1809.1426001292.

It can be divided in two parts, 59213 and 18208, that added together give a triangular number (77421 = T393).

The spelling of 5921318208 in words is "five billion, nine hundred twenty-one million, three hundred eighteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 142 156 192 208 213 284 312 416 426 568 624 832 852 923 1136 1248 1704 1846 2272 2496 2769 3408 3692 4544 5538 6816 7384 11076 13632 14768 22152 29536 33413 44304 59072 66826 88608 100239 133652 177216 200478 267304 400956 434369 534608 801912 868738 1069216 1303107 1603824 1737476 2138432 2372323 2606214 3207648 3474952 4744646 5212428 6415296 6949904 7116969 9489292 10424856 13899808 14233938 18978584 20849712 27799616 28467876 30840199 37957168 41699424 56935752 61680398 75914336 83398848 92520597 113871504 123360796 151828672 185041194 227743008 246721592 370082388 455486016 493443184 740164776 986886368 1480329552 1973772736 2960659104 5921318208