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13639260461112 = 233311132511759249
BaseRepresentation
bin1100011001111010001101…
…0001100101100000111000
31210021220022111211122122000
43012132203101211200320
53241431201134223422
645001442330501000
72605255406021226
oct306364321454070
953256274748560
1013639260461112
114389417a56870
121643468894760
1377c23b3c40b0
14352202569b16
15189bc6108cac
hexc67a3465838

13639260461112 has 256 divisors, whose sum is σ = 44687764800000. Its totient is φ = 3799975680000.

The previous prime is 13639260461077. The next prime is 13639260461119. The reversal of 13639260461112 is 21116406293631.

13639260461112 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 9 + 26 + 0 + 4 + 611 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13639260461119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6873264 + ... + 8632512.

It is an arithmetic number, because the mean of its divisors is an integer number (174561581250).

Almost surely, 213639260461112 is an apocalyptic number.

13639260461112 is a gapful number since it is divisible by the number (12) 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 13639260461112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22343882400000).

13639260461112 is an abundant number, since it is smaller than the sum of its proper divisors (31048504338888).

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

13639260461112 is a wasteful number, since it uses less digits than its factorization.

13639260461112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759539 (or 1759529 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13639260461112 in words is "thirteen trillion, six hundred thirty-nine billion, two hundred sixty million, four hundred sixty-one thousand, one hundred twelve".