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668153808 = 24327294693
BaseRepresentation
bin100111110100110…
…011011111010000
31201120020201201100
4213310303133100
52332021410213
6150144504400
722362133200
oct4764633720
91646221640
10668153808
11313178933
1216791b100
13a856bcaa
1464a48400
153d9d1773
hex27d337d0

668153808 has 90 divisors (see below), whose sum is σ = 2175215874. Its totient is φ = 190899072.

The previous prime is 668153803. The next prime is 668153809. The reversal of 668153808 is 808351866.

It can be written as a sum of positive squares in only one way, i.e., 525876624 + 142277184 = 22932^2 + 11928^2 .

It is a super-2 number, since 2×6681538082 = 892859022289801728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668153803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40291 + ... + 54402.

Almost surely, 2668153808 is an apocalyptic number.

It is an amenable number.

668153808 is an abundant number, since it is smaller than the sum of its proper divisors (1507062066).

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

668153808 is a wasteful number, since it uses less digits than its factorization.

668153808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94721 (or 94705 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 668153808 is about 25848.6713004750. The cubic root of 668153808 is about 874.2295511422.

The spelling of 668153808 in words is "six hundred sixty-eight million, one hundred fifty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 94693 189386 284079 378772 568158 662851 757544 852237 1136316 1325702 1515088 1704474 1988553 2272632 2651404 3408948 3977106 4545264 4639957 5302808 5965659 6817896 7954212 9279914 10605616 11931318 13635792 13919871 15908424 18559828 23862636 27839742 31816848 37119656 41759613 47725272 55679484 74239312 83519226 95450544 111358968 167038452 222717936 334076904 668153808