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9741097809 = 3216721972
BaseRepresentation
bin10010001001001110…
…10101101101010001
3221010212121001002100
421010213111231101
5124422210112214
64250333311013
7463251652032
oct110447255521
927125531070
109741097809
114149660a63
121a7a335469
13bc317bb01
14685a0aa89
153c02bb309
hex2449d5b51

9741097809 has 27 divisors (see below), whose sum is σ = 14227452187. Its totient is φ = 6422411184.

The previous prime is 9741097799. The next prime is 9741097811. The reversal of 9741097809 is 9087901479.

The square root of 9741097809 is 98697.

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., 9544313025 + 196784784 = 97695^2 + 14028^2 .

It is not a de Polignac number, because 9741097809 - 221 = 9739000657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9741097879) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49447099 + ... + 49447295.

Almost surely, 29741097809 is an apocalyptic number.

9741097809 is the 98697-th square number.

9741097809 is the 49349-th centered octagonal number.

It is an amenable number.

9741097809 is a deficient number, since it is larger than the sum of its proper divisors (4486354378).

9741097809 is an equidigital number, since it uses as much as digits as its factorization.

9741097809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The cubic root of 9741097809 is about 2135.6789544260.

The spelling of 9741097809 in words is "nine billion, seven hundred forty-one million, ninety-seven thousand, eight hundred nine".

Divisors: 1 3 9 167 197 501 591 1503 1773 27889 32899 38809 83667 98697 116427 251001 296091 349281 5494133 6481103 16482399 19443309 49447197 58329927 1082344201 3247032603 9741097809