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13281106896 = 243340975167
BaseRepresentation
bin11000101111001110…
…11001101111010000
31021021120202010122000
430113213121233100
5204144430410041
610033512114000
7650055355161
oct142747315720
937246663560
1013281106896
1156a5925202
1226a7995900
1313386b6145
148ddc21768
1552ae7cbb6
hex3179d9bd0

13281106896 has 80 divisors (see below), whose sum is σ = 38215411200. Its totient is φ = 4416152832.

The previous prime is 13281106841. The next prime is 13281106897. The reversal of 13281106896 is 69860118231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13281106897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139105 + ... + 214271.

It is an arithmetic number, because the mean of its divisors is an integer number (477692640).

Almost surely, 213281106896 is an apocalyptic number.

13281106896 is a gapful number since it is divisible by the number (16) 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 13281106896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19107705600).

13281106896 is an abundant number, since it is smaller than the sum of its proper divisors (24934304304).

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

13281106896 is a wasteful number, since it uses less digits than its factorization.

13281106896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75593 (or 75581 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13281106896 in words is "thirteen billion, two hundred eighty-one million, one hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 409 432 818 1227 1636 2454 3272 3681 4908 6544 7362 9816 11043 14724 19632 22086 29448 44172 58896 75167 88344 150334 176688 225501 300668 451002 601336 676503 902004 1202672 1353006 1804008 2029509 2706012 3608016 4059018 5412024 8118036 10824048 16236072 30743303 32472144 61486606 92229909 122973212 184459818 245946424 276689727 368919636 491892848 553379454 737839272 830069181 1106758908 1475678544 1660138362 2213517816 3320276724 4427035632 6640553448 13281106896