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13889244078720 = 27355862310357
BaseRepresentation
bin1100101000011101011101…
…1101011010001010000000
31211011210120022010012100000
43022013113131122022000
53310030132441004340
645312344115200000
72632315262510013
oct312072735321200
954153508105300
1013889244078720
11447543921074a
1216839b38a6000
13799999c6835a
14360358b1537a
15191457788d30
hexca1d775a280

13889244078720 has 384 divisors, whose sum is σ = 49748211152640. Its totient is φ = 3703011323904.

The previous prime is 13889244078719. The next prime is 13889244078733. The reversal of 13889244078720 is 2787044298831.

13889244078720 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 92 + 440 + 7 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×138892440787202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1341043782 + ... + 1341054138.

It is an arithmetic number, because the mean of its divisors is an integer number (129552633210).

Almost surely, 213889244078720 is an apocalyptic number.

13889244078720 is a gapful number since it is divisible by the number (10) 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 13889244078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24874105576320).

13889244078720 is an abundant number, since it is smaller than the sum of its proper divisors (35858967073920).

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

13889244078720 is an equidigital number, since it uses as much as digits as its factorization.

13889244078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19014 (or 18990 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 13889244078720 in words is "thirteen trillion, eight hundred eighty-nine billion, two hundred forty-four million, seventy-eight thousand, seven hundred twenty".