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13893427020 = 223511187311239
BaseRepresentation
bin11001111000001110…
…01101111101001100
31022212020221012221010
430330013031331030
5211423204131040
610214344205220
71001202116064
oct147407157514
938766835833
1013893427020
11598a5283a0
122838a69810
131405506645
1495b2943a4
15564ad0e80
hex33c1cdf4c

13893427020 has 96 divisors (see below), whose sum is σ = 42464540160. Its totient is φ = 3366005760.

The previous prime is 13893427013. The next prime is 13893427033. The reversal of 13893427020 is 2072439831.

It is a self number, because there is not a number n which added to its sum of digits gives 13893427020.

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, 1230561 + ... + 1241799.

It is an arithmetic number, because the mean of its divisors is an integer number (442338960).

Almost surely, 213893427020 is an apocalyptic number.

13893427020 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 13893427020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21232270080).

13893427020 is an abundant number, since it is smaller than the sum of its proper divisors (28571113140).

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

13893427020 is a wasteful number, since it uses less digits than its factorization.

13893427020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13135 (or 13133 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13893427020 in words is "thirteen billion, eight hundred ninety-three million, four hundred twenty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1873 3746 5619 7492 9365 11238 11239 18730 20603 22476 22478 28095 33717 37460 41206 44956 56190 56195 61809 67434 82412 103015 112380 112390 123618 123629 134868 168585 206030 224780 247236 247258 309045 337170 370887 412060 494516 618090 618145 674340 741774 1236180 1236290 1483548 1854435 2472580 3708870 7417740 21050647 42101294 63151941 84202588 105253235 126303882 210506470 231557117 252607764 315759705 421012940 463114234 631519410 694671351 926228468 1157785585 1263038820 1389342702 2315571170 2778685404 3473356755 4631142340 6946713510 13893427020