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1326947110020 = 22335719107172673
BaseRepresentation
bin10011010011110100001…
…101100000110010000100
311200212002020002110212000
4103103310031200302010
5133220041430010040
62453331401425300
7164603662222350
oct23236415406204
94625066073760
101326947110020
11471834060854
12195207a9b230
1398190b4a35c
1448320380460
15247b4a0e130
hex134f4360c84

1326947110020 has 384 divisors, whose sum is σ = 5012795289600. Its totient is φ = 284651864064.

The previous prime is 1326947110003. The next prime is 1326947110051. The reversal of 1326947110020 is 200117496231.

1326947110020 is a `hidden beast` number, since 1 + 3 + 2 + 69 + 471 + 100 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7598404 + ... + 7771076.

It is an arithmetic number, because the mean of its divisors is an integer number (13054154400).

Almost surely, 21326947110020 is an apocalyptic number.

1326947110020 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 1326947110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506397644800).

1326947110020 is an abundant number, since it is smaller than the sum of its proper divisors (3685848179580).

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

1326947110020 is a wasteful number, since it uses less digits than its factorization.

1326947110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172824 (or 172816 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1326947110020 in words is "one trillion, three hundred twenty-six billion, nine hundred forty-seven million, one hundred ten thousand, twenty".