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2620134654489 = 3211218122712
BaseRepresentation
bin100110001000001100001…
…100100000001000011001
3100021111000200121022221100
4212020030030200020121
5320412013432420424
65323401230502013
7360204244044462
oct46101414401031
910244020538840
102620134654489
11920213784300
12363971964909
13160101754701
1490b5ac6bd69
1548250813dc9
hex2620c320219

2620134654489 has 81 divisors (see below), whose sum is σ = 4198578003711. Its totient is φ = 1573359876000.

The previous prime is 2620134654469. The next prime is 2620134654517. The reversal of 2620134654489 is 9844564310262.

The square root of 2620134654489 is 1618683.

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

2620134654489 is a `hidden beast` number, since 2 + 6 + 2 + 0 + 13 + 4 + 6 + 544 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28871786889 + 2591262867600 = 169917^2 + 1609740^2 .

It is not a de Polignac number, because 2620134654489 - 25 = 2620134654457 is a prime.

It is a super-2 number, since 2×26201346544892 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2620134654409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9668393424 + ... + 9668393694.

Almost surely, 22620134654489 is an apocalyptic number.

2620134654489 is the 1618683-rd square number.

2620134654489 is the 809342-nd centered octagonal number.

It is an amenable number.

2620134654489 is a deficient number, since it is larger than the sum of its proper divisors (1578443349222).

2620134654489 is an equidigital number, since it uses as much as digits as its factorization.

2620134654489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2620134654489 in words is "two trillion, six hundred twenty billion, one hundred thirty-four million, six hundred fifty-four thousand, four hundred eighty-nine".

Divisors: 1 3 9 11 33 99 121 181 271 363 543 813 1089 1629 1991 2439 2981 5973 8943 17919 21901 26829 32761 32791 49051 65703 73441 98283 98373 147153 197109 220323 294849 295119 360371 441459 539561 660969 807851 1081113 1618683 2423553 3243339 3964081 4856049 5935171 7270659 8878231 8886361 11892243 13292821 17805513 26634693 26659083 35676729 39878463 53416539 79904079 79977249 97660541 119635389 146221031 292981623 438663093 878944869 1074265951 1315989279 1608431341 2406000601 3222797853 4825294023 7218001803 9668393559 14475882069 21654005409 26466006611 79398019833 238194059499 291126072721 873378218163 2620134654489