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8083315383561 = 341131812851991
BaseRepresentation
bin111010110100000101100…
…1001000101110100001001
31001121202110010222102010000
41311220023021011310021
52024414112214233221
625105231313513213
71463000043044145
oct165501311056411
931552403872100
108083315383561
112637129891030
12aa6725b72809
1346833a8663a2
141dd33d87a225
15e03eb524e26
hex75a0b245d09

8083315383561 has 40 divisors (see below), whose sum is σ = 13176955965888. Its totient is φ = 4897437228000.

The previous prime is 8083315383529. The next prime is 8083315383581. The reversal of 8083315383561 is 1653835133808.

8083315383561 is a `hidden beast` number, since 8 + 0 + 8 + 33 + 15 + 38 + 3 + 561 = 666.

It is not a de Polignac number, because 8083315383561 - 25 = 8083315383529 is a prime.

It is a super-2 number, since 2×80833153835612 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8083315383498 and 8083315383507.

It is not an unprimeable number, because it can be changed into a prime (8083315383581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1408276 + ... + 4260266.

Almost surely, 28083315383561 is an apocalyptic number.

8083315383561 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8083315383561 is a deficient number, since it is larger than the sum of its proper divisors (5093640582327).

8083315383561 is a wasteful number, since it uses less digits than its factorization.

8083315383561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855195 (or 2855186 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 8083315383561 in words is "eight trillion, eighty-three billion, three hundred fifteen million, three hundred eighty-three thousand, five hundred sixty-one".

Divisors: 1 3 9 11 27 33 81 99 297 891 3181 9543 28629 34991 85887 104973 257661 314919 944757 2834271 2851991 8555973 25667919 31371901 77003757 94115703 231011271 282347109 847041327 2541123981 9072183371 27216550113 81649650339 99794017081 244948951017 299382051243 734846853051 898146153729 2694438461187 8083315383561