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232728996864 = 21037132173767
BaseRepresentation
bin1101100010111110111…
…0101010110000000000
3211020201021122222210110
43120233232222300000
512303112110344424
6254525250031320
722546145555640
oct3305756526000
9736637588713
10232728996864
118a7774a6a41
1239130578540
1318c3bbb1200
14b39ab4a520
1560c195ec29
hex362fbaac00

232728996864 has 528 divisors, whose sum is σ = 813022023168. Its totient is φ = 57753206784.

The previous prime is 232728996853. The next prime is 232728996869. The reversal of 232728996864 is 468699827232.

It is a junction number, because it is equal to n+sod(n) for n = 232728996795 and 232728996804.

It is not an unprimeable number, because it can be changed into a prime (232728996869) 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, 61779109 + ... + 61782875.

Almost surely, 2232728996864 is an apocalyptic number.

232728996864 is a gapful number since it is divisible by the number (24) 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 232728996864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406511011584).

232728996864 is an abundant number, since it is smaller than the sum of its proper divisors (580293026304).

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

232728996864 is a wasteful number, since it uses less digits than its factorization.

232728996864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3809 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 66.

The spelling of 232728996864 in words is "two hundred thirty-two billion, seven hundred twenty-eight million, nine hundred ninety-six thousand, eight hundred sixty-four".