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2133793249 = 7265992
BaseRepresentation
bin111111100101111…
…0001100111100001
312111201002221001121
41333023301213201
513332222340444
6551422332241
7103606641400
oct17713614741
95451087047
102133793249
119a551a4a5
124b672a081
132800c0573
14163565637
15c74e0084
hex7f2f19e1

2133793249 has 9 divisors (see below), whose sum is σ = 2482543857. Its totient is φ = 1828688484.

The previous prime is 2133793243. The next prime is 2133793289. The reversal of 2133793249 is 9423973312.

It is a happy number.

The square root of 2133793249 is 46193.

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

It is not a de Polignac number, because 2133793249 - 23 = 2133793241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2133793241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 320052 + ... + 326650.

Almost surely, 22133793249 is an apocalyptic number.

2133793249 is the 46193-rd square number.

2133793249 is the 23097-th centered octagonal number.

It is an amenable number.

2133793249 is a deficient number, since it is larger than the sum of its proper divisors (348750608).

2133793249 is an frugal number, since it uses more digits than its factorization.

2133793249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13212 (or 6606 counting only the distinct ones).

The product of its digits is 244944, while the sum is 43.

The cubic root of 2133793249 is about 1287.4116819300.

The spelling of 2133793249 in words is "two billion, one hundred thirty-three million, seven hundred ninety-three thousand, two hundred forty-nine".

Divisors: 1 7 49 6599 46193 323351 43546801 304827607 2133793249