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13272842513152 = 28173496760337
BaseRepresentation
bin1100000100100101001100…
…0100000010101100000000
31201222212112012211021122101
43001021103010002230000
53214430240140410102
644121243142320144
72536634260606405
oct301112304025400
951885465737571
1013272842513152
114257a87638192
1215a4448129054
137538152b5881
1433c5a244c2ac
151803cca52e87
hexc1253102b00

13272842513152 has 72 divisors (see below), whose sum is σ = 26652788086176. Its totient is φ = 6596622729216.

The previous prime is 13272842513143. The next prime is 13272842513159. The reversal of 13272842513152 is 25131524827231.

It is not an unprimeable number, because it can be changed into a prime (13272842513159) 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 7 ways as a sum of consecutive naturals, for example, 219948328 + ... + 220008664.

It is an arithmetic number, because the mean of its divisors is an integer number (370177612308).

Almost surely, 213272842513152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13272842513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13326394043088).

13272842513152 is an abundant number, since it is smaller than the sum of its proper divisors (13379945573024).

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

13272842513152 is an equidigital number, since it uses as much as digits as its factorization.

13272842513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65493 (or 65479 counting only the distinct ones).

The product of its digits is 806400, while the sum is 46.

The spelling of 13272842513152 in words is "thirteen trillion, two hundred seventy-two billion, eight hundred forty-two million, five hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 692 1384 2768 4967 5536 9934 11072 19868 22144 39736 44288 60337 79472 120674 158944 241348 317888 482696 635776 859291 965392 1271552 1718582 1930784 3437164 3861568 6874328 7723136 10438301 13748656 15446272 20876602 27497312 41753204 54994624 83506408 109989248 167012816 219978496 299693879 334025632 599387758 668051264 1198775516 1336102528 2397551032 2672205056 4795102064 9590204128 19180408256 38360816512 51847041067 76721633024 103694082134 207388164268 414776328536 829552657072 1659105314144 3318210628288 6636421256576 13272842513152