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9987683985 = 325375998609
BaseRepresentation
bin10010100110100111…
…11111011010010001
3221210001120220201200
421103103333122101
5130423321341420
64331022421413
7502334625126
oct112323773221
927701526650
109987683985
114265872894
121b28a31869
13c322976a6
146aa67874d
153d6c78b90
hex2534ff691

9987683985 has 24 divisors (see below), whose sum is σ = 17779880040. Its totient is φ = 5182797312.

The previous prime is 9987683977. The next prime is 9987683989. The reversal of 9987683985 is 5893867899.

It can be written as a sum of positive squares in 4 ways, for example, as 3157653249 + 6830030736 = 56193^2 + 82644^2 .

It is not a de Polignac number, because 9987683985 - 23 = 9987683977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9987683989) 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 23 ways as a sum of consecutive naturals, for example, 2997640 + ... + 3000969.

It is an arithmetic number, because the mean of its divisors is an integer number (740828335).

Almost surely, 29987683985 is an apocalyptic number.

It is an amenable number.

9987683985 is a deficient number, since it is larger than the sum of its proper divisors (7792196055).

9987683985 is a wasteful number, since it uses less digits than its factorization.

9987683985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998657 (or 5998654 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 72.

The square root of 9987683985 is about 99938.4009527869. The cubic root of 9987683985 is about 2153.5498583471.

The spelling of 9987683985 in words is "nine billion, nine hundred eighty-seven million, six hundred eighty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 5998609 17995827 29993045 53987481 89979135 221948533 269937405 665845599 1109742665 1997536797 3329227995 9987683985