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9487280900449 = 1122800132
BaseRepresentation
bin1000101000001110111000…
…0000100000100101100001
31020120222022220210100002201
42022003232000200211201
52220414422402303244
632102221403213201
71666301444041012
oct212035600404541
936528286710081
109487280900449
11302859580a900
121092847217201
1353a853baa251
1424b2889c1009
15116bbc897ad4
hex8a0ee020961

9487280900449 has 9 divisors (see below), whose sum is σ = 10428205504339. Its totient is φ = 8624770017160.

The previous prime is 9487280900431. The next prime is 9487280900549. The reversal of 9487280900449 is 9440090827849.

The square root of 9487280900449 is 3080143.

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., 3788881715025 + 5698399185424 = 1946505^2 + 2387132^2 .

It is not a de Polignac number, because 9487280900449 - 211 = 9487280898401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9487280900249) 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, 33741567 + ... + 34021579.

Almost surely, 29487280900449 is an apocalyptic number.

9487280900449 is the 3080143-rd square number.

9487280900449 is the 1540072-nd centered octagonal number.

It is an amenable number.

9487280900449 is a deficient number, since it is larger than the sum of its proper divisors (940924603890).

9487280900449 is an frugal number, since it uses more digits than its factorization.

9487280900449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560048 (or 280024 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

Multiplying 9487280900449 by its sum of digits (64), we get a square (607185977628736 = 246411442).

It can be divided in two parts, 9487280 and 900449, that added together give a square (10387729 = 32232).

The spelling of 9487280900449 in words is "nine trillion, four hundred eighty-seven billion, two hundred eighty million, nine hundred thousand, four hundred forty-nine".

Divisors: 1 11 121 280013 3080143 33881573 78407280169 862480081859 9487280900449