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9740110864 = 2411222432
BaseRepresentation
bin10010001001000111…
…00100110000010000
3221010210201220020211
421010203210300100
5124421432021424
64250300213504
7463240401451
oct110443446020
927123656224
109740110864
114149047500
121a79b3a294
13bc2bc4813
14685831128
153c0173b94
hex2448e4c10

9740110864 has 45 divisors (see below), whose sum is σ = 20752267039. Its totient is φ = 4425349280.

The previous prime is 9740110859. The next prime is 9740110871. The reversal of 9740110864 is 4680110479.

The square root of 9740110864 is 98692.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4341327 + ... + 4343569.

Almost surely, 29740110864 is an apocalyptic number.

9740110864 is the 98692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9740110864

9740110864 is an abundant number, since it is smaller than the sum of its proper divisors (11012156175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9740110864 is an equidigital number, since it uses as much as digits as its factorization.

9740110864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The cubic root of 9740110864 is about 2135.6068246758.

The spelling of 9740110864 in words is "nine billion, seven hundred forty million, one hundred ten thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2243 4486 8972 17944 24673 35888 49346 98692 197384 271403 394768 542806 1085612 2171224 4342448 5031049 10062098 20124196 40248392 55341539 80496784 110683078 221366156 442732312 608756929 885464624 1217513858 2435027716 4870055432 9740110864