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45220180339089 = 32719273205313267
BaseRepresentation
bin10100100100000101001001…
…10010010010100110010001
312221010000012010012021012100
422102002210302102212101
521411341412131322324
6240101510345351013
712345023136566550
oct1222024462224621
9187100163167170
1045220180339089
1113454852a06218
1250a3b82a98469
131c30324817b32
14b2495016dd97
155364323a24c9
hex2920a4c92991

45220180339089 has 144 divisors (see below), whose sum is σ = 79909044339072. Its totient is φ = 24131174082048.

The previous prime is 45220180339063. The next prime is 45220180339109. The reversal of 45220180339089 is 98093308102254.

45220180339089 is a `hidden beast` number, since 4 + 5 + 220 + 1 + 8 + 0 + 339 + 0 + 89 = 666.

It is not a de Polignac number, because 45220180339089 - 211 = 45220180337041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45220180339189) 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 143 ways as a sum of consecutive naturals, for example, 3408464034 + ... + 3408477300.

Almost surely, 245220180339089 is an apocalyptic number.

It is an amenable number.

45220180339089 is a deficient number, since it is larger than the sum of its proper divisors (34688863999983).

45220180339089 is a wasteful number, since it uses less digits than its factorization.

45220180339089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15444 (or 15422 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 45220180339089 in words is "forty-five trillion, two hundred twenty billion, one hundred eighty million, three hundred thirty-nine thousand, eighty-nine".

Divisors: 1 3 7 9 19 21 57 63 73 133 171 219 361 399 511 657 1083 1197 1387 1533 2053 2527 3249 4161 4599 6159 7581 9709 12483 13267 14371 18477 22743 26353 29127 39007 39801 43113 79059 87381 92869 117021 119403 129339 149869 184471 237177 252073 273049 278607 351063 449607 553413 741133 756219 819147 835821 968491 1049083 1348821 1660239 1764511 2223399 2268657 2457441 2847511 2905473 3147249 4789387 5187931 5293533 6670197 6779437 8542533 8716419 9441747 14368161 15563793 15880599 18401329 19932577 20338311 25627599 27237151 33525709 43104483 46691379 54102709 55203987 59797731 61014933 81711453 100577127 128809303 162308127 165611961 179393193 190660057 245134359 301731381 349625251 378718963 386427909 486924381 517505869 571980171 1048875753 1136156889 1159283727 1552517607 1715940513 1988312023 2447376757 3146627259 3408470667 3622541083 4657552821 5964936069 7342130271 9832611511 10867623249 13918184161 17894808207 22026390813 29497834533 32602869747 37777928437 41754552483 68828280577 88493503599 113333785311 125263657449 206484841731 264445499059 340001355933 619454525193 717780640303 793336497177 2153341920909 2380009491531 5024464482121 6460025762727 15073393446363 45220180339089