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13723665220 = 225992969109
BaseRepresentation
bin11001100011111111…
…01000001101000100
31022102102111102112001
430301333220031010
5211101224241340
610145441435044
7664041141526
oct146177501504
938372442461
1013723665220
115902718891
1227b003ba84
1313a92a8885
14942903a16
15554c4b29a
hex331fe8344

13723665220 has 24 divisors (see below), whose sum is σ = 28823016600. Its totient is φ = 5488833792.

The previous prime is 13723665209. The next prime is 13723665223. The reversal of 13723665220 is 2256632731.

13723665220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 589129984 + 13134535236 = 24272^2 + 114606^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13723665220.

It is not an unprimeable number, because it can be changed into a prime (13723665223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 164026 + ... + 233134.

It is an arithmetic number, because the mean of its divisors is an integer number (1200959025).

Almost surely, 213723665220 is an apocalyptic number.

13723665220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13723665220 is an abundant number, since it is smaller than the sum of its proper divisors (15099351380).

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

13723665220 is a wasteful number, since it uses less digits than its factorization.

13723665220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79047 (or 79045 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 13723665220 in words is "thirteen billion, seven hundred twenty-three million, six hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 9929 19858 39716 49645 69109 99290 138218 198580 276436 345545 691090 1382180 686183261 1372366522 2744733044 3430916305 6861832610 13723665220