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12388988304 = 243272111931271
BaseRepresentation
bin10111000100111000…
…01111010110010000
31011222102001210222200
423202130033112100
5200333040111204
65405203003200
7616003443300
oct134234172620
934872053880
1012388988304
115288296310
122499069500
13122591bc14
14857557600
154c79ab539
hex2e270f590

12388988304 has 720 divisors, whose sum is σ = 47985500160. Its totient is φ = 2939328000.

The previous prime is 12388988299. The next prime is 12388988347. The reversal of 12388988304 is 40388988321.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45715689 + ... + 45715959.

It is an arithmetic number, because the mean of its divisors is an integer number (66646528).

Almost surely, 212388988304 is an apocalyptic number.

12388988304 is a gapful number since it is divisible by the number (14) 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 12388988304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23992750080).

12388988304 is an abundant number, since it is smaller than the sum of its proper divisors (35596511856).

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

12388988304 is a wasteful number, since it uses less digits than its factorization.

12388988304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 12388988304 in words is "twelve billion, three hundred eighty-eight million, nine hundred eighty-eight thousand, three hundred four".