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1328524028352 = 263217612224171
BaseRepresentation
bin10011010101010010001…
…100111110100111000000
311201000011010100020010200
4103111102030332213000
5133231304122401402
62454152052325200
7164661030630033
oct23252214764700
94630133306120
101328524028352
114724731a7944
12195588013800
1398382761121
144842d98701a
152485819e21c
hex1355233e9c0

1328524028352 has 168 divisors, whose sum is σ = 4098072496752. Its totient is φ = 409959014400.

The previous prime is 1328524028333. The next prime is 1328524028399. The reversal of 1328524028352 is 2538204258231.

1328524028352 is a `hidden beast` number, since 1 + 3 + 2 + 85 + 240 + 283 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1328524028298 and 1328524028307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514774 + ... + 1709397.

Almost surely, 21328524028352 is an apocalyptic number.

1328524028352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1328524028352 is an abundant number, since it is smaller than the sum of its proper divisors (2769548468400).

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

1328524028352 is a wasteful number, since it uses less digits than its factorization.

1328524028352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224267 (or 2224254 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1328524028352 in words is "one trillion, three hundred twenty-eight billion, five hundred twenty-four million, twenty-eight thousand, three hundred fifty-two".