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13197348920000 = 2654759798871
BaseRepresentation
bin1100000000001011111101…
…0010110101101011000000
31201201122122221022101200202
43000002333102311223000
53212211132310420000
644022440044504332
72531322415631240
oct300027722655300
951648587271622
1013197348920000
114228a67458293
12159189954b0a8
1374967398b7ab
14338a7dda9b20
1517d45eedadd5
hexc00bf4b5ac0

13197348920000 has 280 divisors, whose sum is σ = 38034104190720. Its totient is φ = 4448108160000.

The previous prime is 13197348919999. The next prime is 13197348920027. The reversal of 13197348920000 is 2984379131.

It is a tau number, because it is divible by the number of its divisors (280).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 16120565 + ... + 16919435.

Almost surely, 213197348920000 is an apocalyptic number.

13197348920000 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 13197348920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19017052095360).

13197348920000 is an abundant number, since it is smaller than the sum of its proper divisors (24836755270720).

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

13197348920000 is an frugal number, since it uses more digits than its factorization.

13197348920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798969 (or 798944 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 13197348920000 in words is "thirteen trillion, one hundred ninety-seven billion, three hundred forty-eight million, nine hundred twenty thousand".