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41620652279649 = 31013921912
BaseRepresentation
bin10010111011010100100000…
…01100011100011101100001
312110100220011211010000000000
421131222100030130131201
520423403043440422044
6224304132543050213
711523664364114442
oct1135522014343541
9173326154100000
1041620652279649
1112297246188973
1248024402a0969
131a2ba70069c01
14a3c6439632c9
154c29ae464d69
hex25da9031c761

41620652279649 has 99 divisors (see below), whose sum is σ = 63213952497969. Its totient is φ = 27403254429480.

The previous prime is 41620652279617. The next prime is 41620652279651. The reversal of 41620652279649 is 94697225602614.

The square root of 41620652279649 is 6451407.

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

41620652279649 is a `hidden beast` number, since 4 + 1 + 62 + 0 + 6 + 522 + 7 + 9 + 6 + 49 = 666.

It is not a de Polignac number, because 41620652279649 - 25 = 41620652279617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (41620652279669) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 217909174144 + ... + 217909174334.

Almost surely, 241620652279649 is an apocalyptic number.

41620652279649 is the 6451407-th square number.

41620652279649 is the 3225704-th centered octagonal number.

It is an amenable number.

41620652279649 is a deficient number, since it is larger than the sum of its proper divisors (21593300218320).

41620652279649 is an frugal number, since it uses more digits than its factorization.

41620652279649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 41620652279649 in words is "forty-one trillion, six hundred twenty billion, six hundred fifty-two million, two hundred seventy-nine thousand, six hundred forty-nine".

Divisors: 1 3 9 27 81 139 191 243 417 573 729 1251 1719 2187 3753 5157 6561 11259 15471 19321 19683 26549 33777 36481 46413 57963 59049 79647 101331 109443 139239 173889 238941 303993 328329 417717 521667 716823 911979 984987 1253151 1565001 2150469 2735937 2954961 3690311 3759453 4695003 5070859 6451407 8207811 8864883 11070933 11278359 14085009 15212577 19354221 26594649 33212799 42255027 45637731 58062663 79783947 99638397 126765081 136913193 174187989 239351841 298915191 380295243 410739579 522563967 704849401 718055523 896745573 1140885729 1232218737 1567691901 2114548203 2154166569 2690236719 3696656211 6343644609 8070710157 11089968633 19030933827 24212130471 33269905899 57092801481 72636391413 99809717697 171278404443 217909174239 299429153091 513835213329 1541505639987 4624516919961 13873550759883 41620652279649