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1327563984440 = 235127261331493
BaseRepresentation
bin10011010100011000111…
…110101100111000111000
311200220200012211221110202
4103110120332230320320
5133222322340000230
62453512515301332
7164625162452141
oct23243076547070
94626605757422
101327563984440
11472020294721
1219535a5aa848
139825b8a37c5
144837c27aac8
15247edc61a45
hex13518face38

1327563984440 has 32 divisors (see below), whose sum is σ = 3010538810880. Its totient is φ = 526844287872.

The previous prime is 1327563984401. The next prime is 1327563984529. The reversal of 1327563984440 is 444893657231.

It is a happy number.

It is a super-2 number, since 2×13275639844402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130660667 + ... + 130670826.

It is an arithmetic number, because the mean of its divisors is an integer number (94079337840).

It is a 1-persistent number, because it is pandigital, but 2⋅1327563984440 = 2655127968880 is not.

Almost surely, 21327563984440 is an apocalyptic number.

1327563984440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327563984440 is an abundant number, since it is smaller than the sum of its proper divisors (1682974826440).

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

1327563984440 is a wasteful number, since it uses less digits than its factorization.

1327563984440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261331631 (or 261331627 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 1327563984440 in words is "one trillion, three hundred twenty-seven billion, five hundred sixty-three million, nine hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1270 2540 5080 261331493 522662986 1045325972 1306657465 2090651944 2613314930 5226629860 10453259720 33189099611 66378199222 132756398444 165945498055 265512796888 331890996110 663781992220 1327563984440