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45466661331 = 32713243472113
BaseRepresentation
bin101010010110000001…
…100011000111010011
311100100122112201001200
4222112001203013103
51221103431130311
632515340202243
73166464146640
oct522601430723
9140318481050
1045466661331
1118311821673
12898a839383
1343977c2700
1422b4626dc7
1512b18bd556
hexa960631d3

45466661331 has 144 divisors (see below), whose sum is σ = 84973464576. Its totient is φ = 22915436544.

The previous prime is 45466661269. The next prime is 45466661351. The reversal of 45466661331 is 13316666454.

It is not a de Polignac number, because 45466661331 - 29 = 45466660819 is a prime.

It is a super-2 number, since 2×454666613312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45466661351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21516531 + ... + 21518643.

It is an arithmetic number, because the mean of its divisors is an integer number (590093504).

Almost surely, 245466661331 is an apocalyptic number.

45466661331 is a deficient number, since it is larger than the sum of its proper divisors (39506803245).

45466661331 is a wasteful number, since it uses less digits than its factorization.

45466661331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2226 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 45466661331 in words is "forty-five billion, four hundred sixty-six million, six hundred sixty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 43 47 63 91 117 129 141 169 273 301 329 387 423 507 559 611 819 903 987 1183 1521 1677 1833 2021 2113 2709 2961 3549 3913 4277 5031 5499 6063 6339 7267 7943 10647 11739 12831 14147 14791 18189 19017 21801 23829 26273 27469 35217 38493 42441 44373 50869 55601 65403 71487 78819 82407 90859 99311 127323 133119 152607 166803 183911 192283 236457 247221 272577 297933 341549 357097 457821 500409 551733 576849 636013 695177 817731 893799 1024647 1071291 1181167 1291043 1655199 1730547 1908039 2085531 2390843 2499679 3073941 3213873 3543501 3873129 4270373 5724117 6256593 7172529 7499037 8268169 9037301 10630503 11619387 12811119 15355171 16783559 21517587 22497111 24804507 27111903 29892611 38433357 46065513 50350677 55514849 74413521 81335709 89677833 107486197 117484913 138196539 151052031 166544547 269033499 322458591 352454739 388603943 499633641 721693037 967375773 1057364217 1165811829 2165079111 3497435487 5051851259 6495237333 15155553777 45466661331