Search a number
-
+
13027443825220 = 225111672631348231
BaseRepresentation
bin1011110110010011000000…
…1010010101101001000100
31201010102002221220022001121
42331210300022111221010
53201420201104401340
643412420341003324
72513126126305546
oct275446012255104
951112087808047
1013027443825220
1141729a9461890
1215649806b3544
137366375b3256
14330762b99696
15178d18b8a94a
hexbd930295a44

13027443825220 has 96 divisors (see below), whose sum is σ = 30137579974656. Its totient is φ = 4690977532800.

The previous prime is 13027443825199. The next prime is 13027443825233. The reversal of 13027443825220 is 2252834472031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8988505 + ... + 10336735.

It is an arithmetic number, because the mean of its divisors is an integer number (313933124736).

Almost surely, 213027443825220 is an apocalyptic number.

13027443825220 is a gapful number since it is divisible by the number (10) 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 13027443825220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068789987328).

13027443825220 is an abundant number, since it is smaller than the sum of its proper divisors (17110136149436).

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

13027443825220 is a wasteful number, since it uses less digits than its factorization.

13027443825220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348681 (or 1348679 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 13027443825220 in words is "thirteen trillion, twenty-seven billion, four hundred forty-three million, eight hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 263 334 526 668 835 1052 1315 1670 1837 2630 2893 3340 3674 5260 5786 7348 9185 11572 14465 18370 28930 36740 43921 57860 87842 175684 219605 439210 483131 878420 966262 1348231 1932524 2415655 2696462 4831310 5392924 6741155 9662620 13482310 14830541 26964620 29661082 59322164 74152705 148305410 225154577 296610820 354584753 450309154 709169506 900618308 1125772885 1418339012 1772923765 2251545770 2476700347 3545847530 3900432283 4503091540 4953400694 7091695060 7800864566 9906801388 12383501735 15601729132 19502161415 24767003470 39004322830 49534006940 59215653751 78008645660 118431307502 236862615004 296078268755 592156537510 651372191261 1184313075020 1302744382522 2605488765044 3256860956305 6513721912610 13027443825220