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13888340787438 = 232131976912773181
BaseRepresentation
bin1100101000011010000110…
…0111101000000011101110
31211011201020100102020122100
43022012201213220003232
53310021310220144223
645312114330355530
72632254013612515
oct312064147500356
954151210366570
1013888340787438
114475015340627
1216837a128bba6
13799884a8b880
143602b0b7d67c
1519140330c043
hexca1a19e80ee

13888340787438 has 192 divisors, whose sum is σ = 34193565806400. Its totient is φ = 4038722519040.

The previous prime is 13888340787437. The next prime is 13888340787463. The reversal of 13888340787438 is 83478704388831.

It is a happy number.

13888340787438 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 83 + 40 + 78 + 7 + 438 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13888340787437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4366028208 + ... + 4366031388.

It is an arithmetic number, because the mean of its divisors is an integer number (178091488575).

Almost surely, 213888340787438 is an apocalyptic number.

13888340787438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13888340787438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17096782903200).

13888340787438 is an abundant number, since it is smaller than the sum of its proper divisors (20305225018962).

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

13888340787438 is a wasteful number, since it uses less digits than its factorization.

13888340787438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 13888340787438 in words is "thirteen trillion, eight hundred eighty-eight billion, three hundred forty million, seven hundred eighty-seven thousand, four hundred thirty-eight".