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232045432641 = 33111228963577
BaseRepresentation
bin1101100000011011111…
…1000100111101000001
3211011221122102022222000
43120012333010331001
512300212112321031
6254333350534213
722523205430221
oct3300677047501
9734848368860
10232045432641
118a456663030
1238b7b667369
1318b603a7b39
14b334050081
1560819373e6
hex3606fc4f41

232045432641 has 32 divisors (see below), whose sum is σ = 375059337600. Its totient is φ = 140619939840.

The previous prime is 232045432583. The next prime is 232045432643. The reversal of 232045432641 is 146234540232.

232045432641 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 4 + 5 + 4 + 3 + 2 + 641 = 666.

232045432641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232045432641 - 235 = 197685694273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232045432596 and 232045432605.

It is not an unprimeable number, because it can be changed into a prime (232045432643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3618045 + ... + 3681621.

It is an arithmetic number, because the mean of its divisors is an integer number (11720604300).

Almost surely, 2232045432641 is an apocalyptic number.

It is an amenable number.

232045432641 is a deficient number, since it is larger than the sum of its proper divisors (143013904959).

232045432641 is a wasteful number, since it uses less digits than its factorization.

232045432641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75886 (or 75880 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 232045432641 its reverse (146234540232), we get a palindrome (378279972873).

The spelling of 232045432641 in words is "two hundred thirty-two billion, forty-five million, four hundred thirty-two thousand, six hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 12289 36867 63577 110601 135179 190731 331803 405537 572193 699347 1216611 1716579 2098041 3649833 6294123 18882369 781297753 2343893259 7031679777 8594275283 21095039331 25782825849 77348477547 232045432641