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13339032325696 = 2676116
BaseRepresentation
bin1100001000011011110001…
…0010001000111001000000
31202020012101002122010221001
43002012330102020321000
53222021314233410241
644211511123541344
72544466441000000
oct302067422107100
952205332563831
1013339032325696
114283063000000
1215b523ab2a854
13759b33239b1c
14341881000000
15181ea38d4431
hexc21bc488e40

13339032325696 has 343 divisors, whose sum is σ = 33969331257163. Its totient is φ = 5197025581440.

The previous prime is 13339032325673. The next prime is 13339032325711. The reversal of 13339032325696 is 69652323093331.

It is a happy number.

The square root of 13339032325696 is 3652264.

The cubic root of 13339032325696 is 23716.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (343).

It is a super-3 number, since 3×133390323256963 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 1212639302331 + ... + 1212639302341.

Almost surely, 213339032325696 is an apocalyptic number.

13339032325696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13339032325696 is the 3652264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13339032325696

13339032325696 is an abundant number, since it is smaller than the sum of its proper divisors (20630298931467).

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

13339032325696 is an frugal number, since it uses more digits than its factorization.

13339032325696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 55.

The spelling of 13339032325696 in words is "thirteen trillion, three hundred thirty-nine billion, thirty-two million, three hundred twenty-five thousand, six hundred ninety-six".