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13864774020 = 22354113194273
BaseRepresentation
bin11001110100110011…
…11010100110000100
31022210021000111101220
430322121322212010
5211343340232040
610211442120340
71000403430456
oct147231724604
938707014356
1013864774020
115975337a29
12282b3500b0
1313cc5b37c6
149575562d6
155623212d0
hex33a67a984

13864774020 has 96 divisors (see below), whose sum is σ = 39807694080. Its totient is φ = 3603517440.

The previous prime is 13864774013. The next prime is 13864774043. The reversal of 13864774020 is 2047746831.

13864774020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3242604 + ... + 3246876.

It is an arithmetic number, because the mean of its divisors is an integer number (414663480).

Almost surely, 213864774020 is an apocalyptic number.

13864774020 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 13864774020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19903847040).

13864774020 is an abundant number, since it is smaller than the sum of its proper divisors (25942920060).

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

13864774020 is a wasteful number, since it uses less digits than its factorization.

13864774020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5643 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 13864774020 in words is "thirteen billion, eight hundred sixty-four million, seven hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1319 2460 2638 3957 4273 5276 6595 7914 8546 12819 13190 15828 17092 19785 21365 25638 26380 39570 42730 51276 54079 64095 79140 85460 108158 128190 162237 175193 216316 256380 270395 324474 350386 525579 540790 648948 700772 811185 875965 1051158 1081580 1622370 1751930 2102316 2627895 3244740 3503860 5255790 5636087 10511580 11272174 16908261 22544348 28180435 33816522 56360870 67633044 84541305 112721740 169082610 231079567 338165220 462159134 693238701 924318268 1155397835 1386477402 2310795670 2772954804 3466193505 4621591340 6932387010 13864774020