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230652546521625 = 3253205024485797
BaseRepresentation
bin110100011100011011111011…
…000110100001101000011001
31010020200011112112201202010100
4310130123323012201220121
5220213002403402143000
62134320152253210013
766404045056643064
oct6434337306415031
91106604475652110
10230652546521625
1167547217459378
1221a52013190909
139b91598865877
1440d58ddc658db
151b9ec06de5a00
hexd1c6fb1a1a19

230652546521625 has 24 divisors (see below), whose sum is σ = 415789657198344. Its totient is φ = 123014691477600.

The previous prime is 230652546521623. The next prime is 230652546521627. The reversal of 230652546521625 is 526125645256032.

230652546521625 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 5 + 2 + 5 + 4 + 6 + 5 + 2 + 1 + 625 = 666.

230652546521625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230652546521623) and next prime (230652546521627).

It can be written as a sum of positive squares in 4 ways, for example, as 43286083174656 + 187366463346969 = 6579216^2 + 13688187^2 .

It is not a de Polignac number, because 230652546521625 - 21 = 230652546521623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230652546521623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102512241774 + ... + 102512244023.

It is an arithmetic number, because the mean of its divisors is an integer number (17324569049931).

Almost surely, 2230652546521625 is an apocalyptic number.

230652546521625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230652546521625 is a deficient number, since it is larger than the sum of its proper divisors (185137110676719).

230652546521625 is a wasteful number, since it uses less digits than its factorization.

230652546521625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205024485818 (or 205024485805 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 230652546521625 in words is "two hundred thirty trillion, six hundred fifty-two billion, five hundred forty-six million, five hundred twenty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 205024485797 615073457391 1025122428985 1845220372173 3075367286955 5125612144925 9226101860865 15376836434775 25628060724625 46130509304325 76884182173875 230652546521625