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189739519281 = 36132172732
BaseRepresentation
bin1011000010110101011…
…0110100110100110001
3200010202021101021000000
42300231112310310301
511102041304104111
6223055400220213
716464631206024
oct2605526646461
9603667337000
10189739519281
1173517015174
123093346a669
1314b7a68ca00
14927d5151bb
154e077b1c56
hex2c2d5b4d31

189739519281 has 189 divisors, whose sum is σ = 331775715699. Its totient is φ = 108388979712.

The previous prime is 189739519267. The next prime is 189739519309. The reversal of 189739519281 is 182915937981.

The square root of 189739519281 is 435591.

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

189739519281 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 39 + 519 + 2 + 81 = 666.

189739519281 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 13 ways, for example, as 100048853025 + 89690666256 = 316305^2 + 299484^2 .

It is not a de Polignac number, because 189739519281 - 215 = 189739486513 is a prime.

It is a super-2 number, since 2×1897395192812 (a number of 23 digits) contains 22 as substring.

Its product of digits (9797760) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (189739519231) by changing a digit.

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 188 ways as a sum of consecutive naturals, for example, 2599171461 + ... + 2599171533.

Almost surely, 2189739519281 is an apocalyptic number.

189739519281 is the 435591-st square number.

189739519281 is the 217796-th centered octagonal number.

It is an amenable number.

189739519281 is a deficient number, since it is larger than the sum of its proper divisors (142036196418).

189739519281 is an frugal number, since it uses more digits than its factorization.

189739519281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 106 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 63.

The spelling of 189739519281 in words is "one hundred eighty-nine billion, seven hundred thirty-nine million, five hundred nineteen thousand, two hundred eighty-one".