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9993401089 = 72142812
BaseRepresentation
bin10010100111010011…
…10011001100000001
3221210110100101010021
421103221303030001
5130431302313324
64331345133441
7502434336100
oct112351631401
927713311107
109993401089
114269018171
121b2a92a281
13c335199a9
146ab326037
153d7507ae4
hex253a73301

9993401089 has 9 divisors (see below), whose sum is σ = 11625790851. Its totient is φ = 8565172560.

The previous prime is 9993401081. The next prime is 9993401107. The reversal of 9993401089 is 9801043999.

The square root of 9993401089 is 99967.

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

It can be written as a sum of positive squares in only one way, i.e., 1399489 + 9992001600 = 1183^2 + 99960^2 .

It is not a de Polignac number, because 9993401089 - 23 = 9993401081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9993401081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 692629 + ... + 706909.

It is an arithmetic number, because the mean of its divisors is an integer number (1291754539).

Almost surely, 29993401089 is an apocalyptic number.

9993401089 is the 99967-th square number.

9993401089 is the 49984-th centered octagonal number.

It is an amenable number.

9993401089 is a deficient number, since it is larger than the sum of its proper divisors (1632389762).

9993401089 is an frugal number, since it uses more digits than its factorization.

9993401089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28576 (or 14288 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The cubic root of 9993401089 is about 2153.9606883276.

The spelling of 9993401089 in words is "nine billion, nine hundred ninety-three million, four hundred one thousand, eighty-nine".

Divisors: 1 7 49 14281 99967 699769 203946961 1427628727 9993401089