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99998260007569 = 7211261221292
BaseRepresentation
bin10110101111001010101000…
…110001000001001010010001
3111010001201222200012202101121
4112233022220301001022101
5101101332414030220234
6552402322204402241
730030431050353100
oct2657125061011221
9433051880182347
1099998260007569
1129954029909100
12b2703bab46381
1343a4a45806421
141a99d27aba037
15b862b6b6b4b4
hex5af2a8c41291

99998260007569 has 81 divisors (see below), whose sum is σ = 130052348331633. Its totient is φ = 76607333510400.

The previous prime is 99998260007567. The next prime is 99998260007717. The reversal of 99998260007569 is 96570006289999.

The square root of 99998260007569 is 9999913.

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

It can be written as a sum of positive squares in 4 ways, for example, as 57663717757569 + 42334542250000 = 7593663^2 + 6506500^2 .

It is not a de Polignac number, because 99998260007569 - 21 = 99998260007567 is a prime.

It is a super-2 number, since 2×999982600075692 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99998260007567) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46969590297 + ... + 46969592425.

Almost surely, 299998260007569 is an apocalyptic number.

99998260007569 is the 9999913-rd square number.

99998260007569 is the 4999957-th centered octagonal number.

It is an amenable number.

99998260007569 is a deficient number, since it is larger than the sum of its proper divisors (30054088324064).

99998260007569 is an frugal number, since it uses more digits than its factorization.

99998260007569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 1190427840, while the sum is 79.

The spelling of 99998260007569 in words is "ninety-nine trillion, nine hundred ninety-eight billion, two hundred sixty million, seven thousand, five hundred sixty-nine".

Divisors: 1 7 11 49 61 77 121 427 539 671 847 2129 2989 3721 4697 5929 7381 14903 23419 26047 32879 40931 51667 104321 129869 163933 182329 257609 286517 361669 450241 909083 1147531 1428559 1803263 2005619 3151687 4532641 6363581 7922009 9999913 12622841 15714149 22061809 31728487 49859051 55454063 69999391 87142099 109999043 222099409 276491101 349013357 388178441 548449561 609994693 769993301 958563089 1935437707 2443093499 3041402111 3839146927 4269962851 6709941623 13548063949 16865957161 21289814777 26874028489 33455423221 46969591361 118061700127 149028703439 185525528771 234187962547 826431900889 1298678701397 1639315737829 2040780816481 9090750909779 14285465715367 99998260007569