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8916218848121 = 13229127139257401
BaseRepresentation
bin1000000110111111100000…
…0011101010001101111001
31011120101022121210100002012
42001233320003222031321
52132040404011114441
630544015425415305
71610114133505244
oct201577003521571
934511277710065
108916218848121
112928390104742
12100003379a535
134c8a4658c800
1422b793ac425b
15106de82b69eb
hex81bf80ea379

8916218848121 has 96 divisors (see below), whose sum is σ = 10203663052800. Its totient is φ = 7777360281600.

The previous prime is 8916218848111. The next prime is 8916218848129. The reversal of 8916218848121 is 1218488126198.

8916218848121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8916218848121 - 218 = 8916218585977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8916218848129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22234959521 + ... + 22234959921.

It is an arithmetic number, because the mean of its divisors is an integer number (106288156800).

Almost surely, 28916218848121 is an apocalyptic number.

It is an amenable number.

8916218848121 is a deficient number, since it is larger than the sum of its proper divisors (1287444204679).

8916218848121 is a wasteful number, since it uses less digits than its factorization.

8916218848121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 966 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 59.

The spelling of 8916218848121 in words is "eight trillion, nine hundred sixteen billion, two hundred eighteen million, eight hundred forty-eight thousand, one hundred twenty-one".

Divisors: 1 13 29 127 139 169 257 377 401 1651 1807 3341 3683 4031 4901 5213 7453 11629 17653 21463 23491 32639 35723 43433 47879 50927 52403 55739 67769 96889 103057 151177 229489 424307 464399 511937 622427 662051 681239 724607 946531 1035967 1259557 1339741 1476883 1616431 1965301 2983357 2988653 4536821 5515991 6037187 6655181 7078853 8606663 9419891 12304903 13088239 13467571 14324923 17416633 19199479 21013603 38852489 58978673 86517353 92025089 131567809 159963739 170147107 175078423 186223999 205286737 249593227 273176839 379558931 415422767 505082357 766722749 1196326157 1710381517 1819265221 2211912391 2420911987 2668727581 4934266103 5400495971 22234959721 23650447873 34693458553 52758691409 64145459339 70206447623 307455822349 685862988317 8916218848121