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2133543648 = 253103215771
BaseRepresentation
bin111111100101011…
…0100101011100000
312111200122020200010
41333022310223200
513332141344043
6551413124520
7103604551605
oct17712645340
95450566603
102133543648
119a5369a15
124b6629740
13280033a82
141634dc6ac
15c7491133
hex7f2b4ae0

2133543648 has 48 divisors (see below), whose sum is σ = 5654952576. Its totient is φ = 704273280.

The previous prime is 2133543647. The next prime is 2133543661. The reversal of 2133543648 is 8463453312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21335436482 = 9104016995842295808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133543647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97998 + ... + 117773.

It is an arithmetic number, because the mean of its divisors is an integer number (117811512).

Almost surely, 22133543648 is an apocalyptic number.

It is an amenable number.

2133543648 is an abundant number, since it is smaller than the sum of its proper divisors (3521408928).

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

2133543648 is a wasteful number, since it uses less digits than its factorization.

2133543648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215887 (or 215879 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 2133543648 is about 46190.2982021117. The cubic root of 2133543648 is about 1287.3614815379.

The spelling of 2133543648 in words is "two billion, one hundred thirty-three million, five hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 215771 431542 647313 863084 1294626 1726168 2589252 3452336 5178504 6904672 10357008 20714016 22224413 44448826 66673239 88897652 133346478 177795304 266692956 355590608 533385912 711181216 1066771824 2133543648