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1132793649 = 321328632
BaseRepresentation
bin100001110000101…
…0000111100110001
32220221112212202100
41003201100330301
54304443344044
6304223411013
740033405251
oct10341207461
92827485670
101132793649
115314836a9
12277453a69
131508c3400
14aa637961
15696b2869
hex43850f31

1132793649 has 27 divisors (see below), whose sum is σ = 1773860907. Its totient is φ = 696296016.

The previous prime is 1132793639. The next prime is 1132793681. The reversal of 1132793649 is 9463972311.

The square root of 1132793649 is 33657.

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

1132793649 is a `hidden beast` number, since 1 + 13 + 279 + 364 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167573025 + 965220624 = 12945^2 + 31068^2 .

It is not a de Polignac number, because 1132793649 - 25 = 1132793617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1132793609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1312192 + ... + 1313054.

Almost surely, 21132793649 is an apocalyptic number.

1132793649 is the 33657-th square number.

1132793649 is the 16829-th centered octagonal number.

It is an amenable number.

1132793649 is a deficient number, since it is larger than the sum of its proper divisors (641067258).

1132793649 is an frugal number, since it uses more digits than its factorization.

1132793649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 879 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The cubic root of 1132793649 is about 1042.4380819979.

It can be divided in two parts, 11327 and 93649, that added together give a 4-th power (104976 = 184).

The spelling of 1132793649 in words is "one billion, one hundred thirty-two million, seven hundred ninety-three thousand, six hundred forty-nine".

Divisors: 1 3 9 13 39 117 169 507 863 1521 2589 7767 11219 33657 100971 145847 437541 744769 1312623 2234307 6702921 9681997 29045991 87137973 125865961 377597883 1132793649