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1116027649 = 11230372
BaseRepresentation
bin100001010000101…
…0011101100000001
32212210000002010101
41002201103230001
54241200341044
6302424202401
736441035632
oct10241235401
92783002111
101116027649
11522a72100
12271909401
1314a2a2cb9
14a8311889
1567e9ecd4
hex42853b01

1116027649 has 9 divisors (see below), whose sum is σ = 1227112131. Its totient is φ = 1014236520.

The previous prime is 1116027631. The next prime is 1116027673. The reversal of 1116027649 is 9467206111.

The square root of 1116027649 is 33407.

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., 945255025 + 170772624 = 30745^2 + 13068^2 .

It is not a de Polignac number, because 1116027649 - 215 = 1115994881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1116027349) by changing a digit.

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, 365959 + ... + 368995.

Almost surely, 21116027649 is an apocalyptic number.

1116027649 is the 33407-th square number.

1116027649 is the 16704-th centered octagonal number.

It is an amenable number.

1116027649 is a deficient number, since it is larger than the sum of its proper divisors (111084482).

1116027649 is an frugal number, since it uses more digits than its factorization.

1116027649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The cubic root of 1116027649 is about 1037.2696035358.

It can be divided in two parts, 11160 and 27649, that added together give a square (38809 = 1972).

The spelling of 1116027649 in words is "one billion, one hundred sixteen million, twenty-seven thousand, six hundred forty-nine".

Divisors: 1 11 121 3037 33407 367477 9223369 101457059 1116027649