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64502695261449 = 341926727012
BaseRepresentation
bin11101010101010001101000…
…01111001111010100001001
322110101101201201220101210000
432222220310033033110021
531423303004441331244
6345104043520313213
716405110630240264
oct1652506417172411
9273341651811700
1064502695261449
1119609491990a75
12729907a172809
1329cb76900c643
1411cdd38c17cdb
1576cce30dc169
hex3aaa343cf509

64502695261449 has 135 divisors (see below), whose sum is σ = 103382108916471. Its totient is φ = 40073258887200.

The previous prime is 64502695261447. The next prime is 64502695261453. The reversal of 64502695261449 is 94416259620546.

The square root of 64502695261449 is 8031357.

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

64502695261449 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 2 + 6 + 9 + 5 + 2 + 614 + 4 + 9 = 666.

64502695261449 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 only one way, i.e., 55629326669049 + 8873368592400 = 7458507^2 + 2978820^2 .

It is not a de Polignac number, because 64502695261449 - 21 = 64502695261447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64502695261447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 92015256799 + ... + 92015257499.

Almost surely, 264502695261449 is an apocalyptic number.

64502695261449 is the 8031357-th square number.

64502695261449 is the 4015679-th centered octagonal number.

It is an amenable number.

64502695261449 is a deficient number, since it is larger than the sum of its proper divisors (38879413655022).

64502695261449 is an frugal number, since it uses more digits than its factorization.

64502695261449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 64502695261449 in words is "sixty-four trillion, five hundred two billion, six hundred ninety-five million, two hundred sixty-one thousand, four hundred forty-nine".

Divisors: 1 3 9 19 27 57 67 81 171 201 361 513 603 701 1083 1273 1539 1809 2103 3249 3819 4489 5427 6309 9747 11457 13319 13467 18927 24187 29241 34371 39957 40401 46967 56781 72561 85291 103113 119871 121203 140901 217683 253061 255873 359613 363609 422703 491401 653049 759183 767619 892373 1078839 1268109 1474203 1620529 1959147 2277549 2302857 2677119 3146789 3804327 4422609 4861587 6832647 6908571 8031357 9336619 9440367 13267827 14584761 16955087 20497941 24094071 28009857 28321101 32923867 39803481 43754283 50865261 59788991 72282213 84029571 84963303 98771601 131262849 152595783 177395761 179366973 252088713 254889909 296314803 457787349 532187283 538100919 625553473 756266139 888944409 1135990829 1373362047 1596561849 1614302757 1876660419 2205899089 2666833227 3407972487 4789685547 4842908271 5629981257 6617697267 10223917461 11885515987 14369056641 16889943771 19853091801 30671752383 35656547961 41912082691 50669831313 59559275403 92015257149 106969643883 125736248073 178677826209 320908931649 377208744219 796329571129 962726794947 1131626232657 2388988713387 3394878697971 7166966140161 21500898420483 64502695261449