Search a number
-
+
13139013888 = 283571113211
BaseRepresentation
bin11000011110010010…
…10111000100000000
31020220200101001200000
430033021113010000
5203402041421023
610011434400000
7643411526640
oct141711270400
936820331600
1013139013888
1156326a3670
122668290000
131315125240
148c8dd4520
1551d761243
hex30f257100

13139013888 has 864 divisors, whose sum is σ = 52997747712. Its totient is φ = 3135283200.

The previous prime is 13139013883. The next prime is 13139013911. The reversal of 13139013888 is 88831093131.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (13139013883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62270103 + ... + 62270313.

Almost surely, 213139013888 is an apocalyptic number.

13139013888 is a gapful number since it is divisible by the number (18) 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 13139013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26498873856).

13139013888 is an abundant number, since it is smaller than the sum of its proper divisors (39858733824).

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

13139013888 is a wasteful number, since it uses less digits than its factorization.

13139013888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13139013888 in words is "thirteen billion, one hundred thirty-nine million, thirteen thousand, eight hundred eighty-eight".