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168243530625 = 345418232
BaseRepresentation
bin1001110010110000011…
…0001000101110000001
3121002021011212220010000
42130230012020232001
510224030320440000
6205142350430213
715104142262122
oct2345406105601
9532234786100
10168243530625
11653960a5795
1228734502369
1312b330988b1
148200692049
15459a540000
hex272c188b81

168243530625 has 75 divisors (see below), whose sum is σ = 314230283653. Its totient is φ = 89680662000.

The previous prime is 168243530593. The next prime is 168243530647. The reversal of 168243530625 is 526035342861.

The square root of 168243530625 is 410175.

It is a perfect power (a square), and thus also a powerful number.

168243530625 is a `hidden beast` number, since 16 + 8 + 2 + 4 + 3 + 5 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13190292801 + 155053237824 = 114849^2 + 393768^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 168243530625 - 25 = 168243530593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 92288464 + ... + 92290286.

Almost surely, 2168243530625 is an apocalyptic number.

168243530625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

168243530625 is the 410175-th square number.

168243530625 is the 205088-th centered octagonal number.

It is an amenable number.

168243530625 is a deficient number, since it is larger than the sum of its proper divisors (145986753028).

168243530625 is an frugal number, since it uses more digits than its factorization.

168243530625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 168243530625 in words is "one hundred sixty-eight billion, two hundred forty-three million, five hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1823 1875 2025 3375 5469 5625 9115 10125 16407 16875 27345 45575 49221 50625 82035 136725 147663 227875 246105 410175 683625 738315 1139375 1230525 2050875 3323329 3418125 3691575 6152625 9969987 10254375 16616645 18457875 29909961 30763125 49849935 83083225 89729883 92289375 149549805 249249675 269189649 415416125 448649415 747749025 1246248375 1345948245 2077080625 2243247075 3738745125 6231241875 6729741225 11216235375 18693725625 33648706125 56081176875 168243530625