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1328048568 = 2333721121761
BaseRepresentation
bin100111100101000…
…0110100110111000
310102112221212011000
41033022012212320
510204440023233
6335440405000
744624140500
oct11712064670
93375855130
101328048568
11621715600
12310916760
131821a8972
14c8542a00
157b8d0d13
hex4f2869b8

1328048568 has 576 divisors, whose sum is σ = 5076237600. Its totient is φ = 319334400.

The previous prime is 1328048563. The next prime is 1328048569. The reversal of 1328048568 is 8658408231.

1328048568 is a `hidden beast` number, since 1 + 3 + 2 + 80 + 4 + 8 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328048563) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21771258 + ... + 21771318.

Almost surely, 21328048568 is an apocalyptic number.

1328048568 is a gapful number since it is divisible by the number (18) 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 1328048568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538118800).

1328048568 is an abundant number, since it is smaller than the sum of its proper divisors (3748189032).

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

1328048568 is a wasteful number, since it uses less digits than its factorization.

1328048568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1328048568 is about 36442.4006893070. The cubic root of 1328048568 is about 1099.1863316124.

The spelling of 1328048568 in words is "one billion, three hundred twenty-eight million, forty-eight thousand, five hundred sixty-eight".