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1327473083349 = 32735973979423
BaseRepresentation
bin10011010100010011100…
…011111100001111010101
311200220102212210200121200
4103110103203330033111
5133222131102131344
62453455511103113
7164623010014320
oct23242343741725
94626385720550
101327473083349
11471a83a48356
12195334071a99
1398245ac768a
14483701777b7
15247e5ca8069
hex135138fc3d5

1327473083349 has 48 divisors (see below), whose sum is σ = 2200489574400. Its totient is φ = 755409963168.

The previous prime is 1327473083327. The next prime is 1327473083389. The reversal of 1327473083349 is 9433803747231.

1327473083349 is a `hidden beast` number, since 1 + 3 + 274 + 7 + 30 + 8 + 334 + 9 = 666.

It is not a de Polignac number, because 1327473083349 - 27 = 1327473083221 is a prime.

It is a super-2 number, since 2×13274730833492 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1327473083295 and 1327473083304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327473083389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16674252 + ... + 16753674.

It is an arithmetic number, because the mean of its divisors is an integer number (45843532800).

Almost surely, 21327473083349 is an apocalyptic number.

It is an amenable number.

1327473083349 is a deficient number, since it is larger than the sum of its proper divisors (873016491051).

1327473083349 is a wasteful number, since it uses less digits than its factorization.

1327473083349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80534 (or 80531 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 1327473083349 in words is "one trillion, three hundred twenty-seven billion, four hundred seventy-three million, eighty-three thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 63 359 739 1077 2217 2513 3231 5173 6651 7539 15519 22617 46557 79423 238269 265301 555961 714807 795903 1667883 1857107 2387709 5003649 5571321 16713963 28512857 58693597 85538571 176080791 199589999 256615713 410855179 528242373 598769997 1232565537 1796309991 3697696611 21071001323 63213003969 147497009261 189639011907 442491027783 1327473083349