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1328507863424 = 2773192109769
BaseRepresentation
bin10011010101010001001…
…111010100000110000000
311201000002222220222000122
4103111101033110012000
5133231241003112144
62454150314035412
7164660443343000
oct23252117240600
94630088828018
101328507863424
114724650669a5
12195582718b68
139837c2c1491
144842b77a000
1524856a597ee
hex135513d4180

1328507863424 has 384 divisors, whose sum is σ = 3291611400000. Its totient is φ = 533750611968.

The previous prime is 1328507863411. The next prime is 1328507863427. The reversal of 1328507863424 is 4243687058231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328507863427) 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, 1727578112 + ... + 1727578880.

Almost surely, 21328507863424 is an apocalyptic number.

1328507863424 is a gapful number since it is divisible by the number (14) 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 1328507863424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645805700000).

1328507863424 is an abundant number, since it is smaller than the sum of its proper divisors (1963103536576).

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

1328507863424 is an equidigital number, since it uses as much as digits as its factorization.

1328507863424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 1328507863424 in words is "one trillion, three hundred twenty-eight billion, five hundred seven million, eight hundred sixty-three thousand, four hundred twenty-four".