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9827145447161 = 741328871041169
BaseRepresentation
bin1000111100000000111110…
…0000110111011011111001
31021210110120122220011100212
42033000033200313123321
52242001443213302121
632522310040040505
72032662553031540
oct217001740673371
937713518804325
109827145447161
11314973a459079
121128697163135
135639079b3723
1425d8ca311157
1512095ebd425b
hex8f00f8376f9

9827145447161 has 16 divisors (see below), whose sum is σ = 11505311650560. Its totient is φ = 8217564203520.

The previous prime is 9827145447149. The next prime is 9827145447187. The reversal of 9827145447161 is 1617445417289.

It is a de Polignac number, because none of the positive numbers 2k-9827145447161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9827145447161.

It is not an unprimeable number, because it can be changed into a prime (9827145447461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8917985 + ... + 9959153.

It is an arithmetic number, because the mean of its divisors is an integer number (719081978160).

Almost surely, 29827145447161 is an apocalyptic number.

It is an amenable number.

9827145447161 is a deficient number, since it is larger than the sum of its proper divisors (1678166203399).

9827145447161 is a wasteful number, since it uses less digits than its factorization.

9827145447161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074104.

The product of its digits is 13547520, while the sum is 59.

The spelling of 9827145447161 in words is "nine trillion, eight hundred twenty-seven billion, one hundred forty-five million, four hundred forty-seven thousand, one hundred sixty-one".

Divisors: 1 7 41 287 32887 230209 1041169 1348367 7288183 9438569 42687929 298815503 34240924903 239686474321 1403877921023 9827145447161