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9995607065889 = 343512872
BaseRepresentation
bin1001000101110100100010…
…0110111100010100100001
31022101120102001011002010000
42101131020212330110201
52302232000402102024
633131530221130213
72051105314125234
oct221351046742441
938346361132100
109995607065889
113204127670665
1211552706b9969
13576773cca723
14267b0b93341b
1512501e452cc9
hex917489bc521

9995607065889 has 15 divisors (see below), whose sum is σ = 14931751826497. Its totient is φ = 6663719074428.

The previous prime is 9995607065813. The next prime is 9995607065891. The reversal of 9995607065889 is 9885607065999.

It is a happy number.

The square root of 9995607065889 is 3161583.

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

It is not a de Polignac number, because 9995607065889 - 29 = 9995607065377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9995607065189) 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 14 ways as a sum of consecutive naturals, for example, 28278604 + ... + 28629890.

Almost surely, 29995607065889 is an apocalyptic number.

9995607065889 is the 3161583-rd square number.

9995607065889 is the 1580792-nd centered octagonal number.

It is an amenable number.

9995607065889 is a deficient number, since it is larger than the sum of its proper divisors (4936144760608).

9995607065889 is an frugal number, since it uses more digits than its factorization.

9995607065889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702586 (or 351290 counting only the distinct ones).

The product of its (nonzero) digits is 2645395200, while the sum is 81.

Multiplying 9995607065889 by its sum of digits (81), we get a square (809644172337009 = 284542472).

9995607065889 divided by its sum of digits (81) gives a square (123402556369 = 3512872).

The spelling of 9995607065889 in words is "nine trillion, nine hundred ninety-five billion, six hundred seven million, sixty-five thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 81 351287 1053861 3161583 9484749 28454247 123402556369 370207669107 1110623007321 3331869021963 9995607065889