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132650779177744 = 2483211323072
BaseRepresentation
bin11110001010010100101010…
…100100100111001100010000
3122101200021211212200200202221
4132022110222210213030100
5114341322243432141434
61150042532055150424
736640462653021532
oct3612245244471420
9571607755620687
10132650779177744
11392a2974713403
1212a64739675414
135902bb7a88b99
1424a8490ccb852
15105084039b2b4
hex78a52a927310

132650779177744 has 135 divisors (see below), whose sum is σ = 263324974482453. Its totient is φ = 64734858026496.

The previous prime is 132650779177727. The next prime is 132650779177759. The reversal of 132650779177744 is 447771977056231.

The square root of 132650779177744 is 11517412.

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

It can be written as a sum of positive squares in only one way, i.e., 2337412899600 + 130313366278144 = 1528860^2 + 11415488^2 .

It is a super-3 number, since 3×1326507791777443 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 432087228439 + ... + 432087228745.

Almost surely, 2132650779177744 is an apocalyptic number.

132650779177744 is the 11517412-nd square number.

It is an amenable number.

132650779177744 is a deficient number, since it is larger than the sum of its proper divisors (130674195304709).

132650779177744 is an frugal number, since it uses more digits than its factorization.

132650779177744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 435637440, while the sum is 70.

The spelling of 132650779177744 in words is "one hundred thirty-two trillion, six hundred fifty billion, seven hundred seventy-nine million, one hundred seventy-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 83 113 166 226 307 332 452 614 664 904 1228 1328 1808 2456 4912 6889 9379 12769 13778 18758 25481 25538 27556 34691 37516 50962 51076 55112 69382 75032 94249 101924 102152 110224 138764 150064 188498 203848 204304 277528 376996 407696 555056 753992 778457 1059827 1507984 1556914 2114923 2119654 2879353 3113828 3920083 4229846 4239308 5758706 6227656 7822667 7840166 8459692 8478616 10650137 11517412 12455312 15645334 15680332 16919384 16957232 21300274 23034824 31290668 31360664 33838768 42600548 46069648 62581336 62721328 85201096 87965641 125162672 170402192 175931282 238986299 325366889 351862564 477972598 649281361 650733778 703725128 883961371 955945196 1203465481 1298562722 1301467556 1407450256 1767922742 1911890392 2406930962 2597125444 2602935112 3535845484 3823780784 4813861924 5194250888 5205870224 7071690968 9627723848 10388501776 14143381936 19255447696 27005451787 54010903574 73368793793 99887634923 108021807148 146737587586 199775269846 216043614296 293475175172 399550539692 432087228592 586950350344 799101079384 1173900700688 1598202158768 8290673698609 16581347397218 33162694794436 66325389588872 132650779177744