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232664101072 = 24131118577409
BaseRepresentation
bin1101100010101111011…
…1000111000011010000
3211020112202112221111121
43120223313013003100
512302444002213242
6254515011052024
722544430141244
oct3305367070320
9736482487447
10232664101072
118a743901857
12391128a1014
1318c2b60ba30
14b392296424
1560bade1667
hex362bdc70d0

232664101072 has 20 divisors (see below), whose sum is σ = 485462595940. Its totient is φ = 107383431168.

The previous prime is 232664101067. The next prime is 232664101097. The reversal of 232664101072 is 270101466232.

232664101072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 96077681296 + 136586419776 = 309964^2 + 369576^2 .

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 3 ways as a sum of consecutive naturals, for example, 559288497 + ... + 559288912.

It is an arithmetic number, because the mean of its divisors is an integer number (24273129797).

Almost surely, 2232664101072 is an apocalyptic number.

It is an amenable number.

232664101072 is an abundant number, since it is smaller than the sum of its proper divisors (252798494868).

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

232664101072 is a wasteful number, since it uses less digits than its factorization.

232664101072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118577430 (or 1118577424 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 232664101072 in words is "two hundred thirty-two billion, six hundred sixty-four million, one hundred one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 1118577409 2237154818 4474309636 8948619272 14541506317 17897238544 29083012634 58166025268 116332050536 232664101072