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189617714832512 = 271132107712
BaseRepresentation
bin101011000111010011010000…
…100010010010010010000000
3220212101021110120102011112002
4223013103100202102102000
5144323144034444120022
61511141101534323132
754640266511426211
oct5307232042222200
9825337416364462
10189617714832512
115546646a77688a
12193252250594a8
1381a5b4891c155
1434b779132b408
1516dc5d2a7c092
hexac74d0892480

189617714832512 has 72 divisors (see below), whose sum is σ = 381161968865145. Its totient is φ = 93961116641280.

The previous prime is 189617714832499. The next prime is 189617714832523. The reversal of 189617714832512 is 215238417716981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 119756602808896 + 69861112023616 = 10943336^2 + 8358296^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=9736984.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 17604461687 + ... + 17604472457.

Almost surely, 2189617714832512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189617714832512

189617714832512 is an abundant number, since it is smaller than the sum of its proper divisors (191544254032633).

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

189617714832512 is an frugal number, since it uses more digits than its factorization.

189617714832512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21782 (or 10886 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 65.

The spelling of 189617714832512 in words is "one hundred eighty-nine trillion, six hundred seventeen billion, seven hundred fourteen million, eight hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 10771 12769 14464 21542 25538 43084 51076 86168 102152 172336 204304 344672 408608 689344 817216 1217123 1378688 1634432 2434246 4868492 9736984 19473968 38947936 77895872 116014441 137534899 155791744 232028882 275069798 464057764 550139596 928115528 1100279192 1856231056 2200558384 3712462112 4401116768 7424924224 8802233536 13109631833 14849848448 17604467072 26219263666 52438527332 104877054664 209754109328 419508218656 839016437312 1481388397129 1678032874624 2962776794258 5925553588516 11851107177032 23702214354064 47404428708128 94808857416256 189617714832512