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13189269888 = 2732167179383
BaseRepresentation
bin11000100100010010…
…00100100110000000
31021001011221022221100
430102021010212000
5204002423114023
610020431454400
7644561641614
oct142211044600
937034838840
1013189269888
115658aa9753
122681087400
131322670012
148d1957344
15522d8bc43
hex312244980

13189269888 has 192 divisors, whose sum is σ = 38494310400. Its totient is φ = 4334337024.

The previous prime is 13189269871. The next prime is 13189269911. The reversal of 13189269888 is 88896298131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34436545 + ... + 34436927.

It is an arithmetic number, because the mean of its divisors is an integer number (200491200).

Almost surely, 213189269888 is an apocalyptic number.

13189269888 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 13189269888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

13189269888 is an abundant number, since it is smaller than the sum of its proper divisors (25305040512).

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

13189269888 is a wasteful number, since it uses less digits than its factorization.

13189269888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 734 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

The spelling of 13189269888 in words is "thirteen billion, one hundred eighty-nine million, two hundred sixty-nine thousand, eight hundred eighty-eight".