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13890339008 = 2671319112487
BaseRepresentation
bin11001110111110110…
…11100000011000000
31022212001010022222022
430323323130003000
5211421411322013
610214154101012
71001133635120
oct147373340300
938761108868
1013890339008
115988809317
122837a1a768
131404994c10
1495aaccc80
155646c1008
hex33bedc0c0

13890339008 has 112 divisors (see below), whose sum is σ = 34104827904. Its totient is φ = 5465871360.

The previous prime is 13890338989. The next prime is 13890339017. The reversal of 13890339008 is 80093309831.

13890339008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 13890339008.

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 15 ways as a sum of consecutive naturals, for example, 1106141 + ... + 1118627.

It is an arithmetic number, because the mean of its divisors is an integer number (304507392).

Almost surely, 213890339008 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 13890339008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17052413952).

13890339008 is an abundant number, since it is smaller than the sum of its proper divisors (20214488896).

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

13890339008 is a wasteful number, since it uses less digits than its factorization.

13890339008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710 (or 12700 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 13890339008 in words is "thirteen billion, eight hundred ninety million, three hundred thirty-nine thousand, eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 191 208 224 364 382 416 448 728 764 832 1337 1456 1528 2483 2674 2912 3056 4966 5348 5824 6112 9932 10696 12224 12487 17381 19864 21392 24974 34762 39728 42784 49948 69524 79456 85568 87409 99896 139048 158912 162331 174818 199792 278096 324662 349636 399584 556192 649324 699272 799168 1112384 1136317 1298648 1398544 2272634 2385017 2597296 2797088 4545268 4770034 5194592 5594176 9090536 9540068 10389184 16695119 18181072 19080136 31005221 33390238 36362144 38160272 62010442 66780476 72724288 76320544 124020884 133560952 152641088 217036547 248041768 267121904 434073094 496083536 534243808 868146188 992167072 1068487616 1736292376 1984334144 3472584752 6945169504 13890339008