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1338083809326 = 2321126925122673
BaseRepresentation
bin10011011110001100000…
…000101001100000101110
311201220211100202102021200
4103132030000221200232
5133410343423344301
62502412431510330
7165446651500425
oct23361400514056
94656740672250
101338083809326
11476529476880
121973b56883a6
1399247197864
1448a994762bc
1524c175a1c86
hex1378c02982e

1338083809326 has 48 divisors (see below), whose sum is σ = 3174501086640. Its totient is φ = 403972565760.

The previous prime is 1338083809291. The next prime is 1338083809417. The reversal of 1338083809326 is 6239083808331.

1338083809326 is a `hidden beast` number, since 1 + 3 + 380 + 83 + 80 + 93 + 26 = 666.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12508075 + ... + 12614598.

It is an arithmetic number, because the mean of its divisors is an integer number (66135439305).

Almost surely, 21338083809326 is an apocalyptic number.

1338083809326 is an abundant number, since it is smaller than the sum of its proper divisors (1836417277314).

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

1338083809326 is a wasteful number, since it uses less digits than its factorization.

1338083809326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25122961 (or 25122958 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 1338083809326 in words is "one trillion, three hundred thirty-eight billion, eighty-three million, eight hundred nine thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 269 538 807 1614 2421 2959 4842 5918 8877 17754 26631 53262 25122673 50245346 75368019 150736038 226104057 276349403 452208114 552698806 829048209 1658096418 2487144627 4974289254 6757999037 13515998074 20273997111 40547994222 60821991333 74337989407 121643982666 148675978814 223013968221 446027936442 669041904663 1338083809326