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2133884781 = 32725391297
BaseRepresentation
bin111111100110000…
…0111111101101101
312111201021120121200
41333030013331231
513332233303111
6551424320113
7103610502300
oct17714077555
95451246550
102133884781
119a5582246
124b6773039
13280123122
1416358ab37
15c750c256
hex7f307f6d

2133884781 has 36 divisors (see below), whose sum is σ = 3653198172. Its totient is φ = 1196342784.

The previous prime is 2133884773. The next prime is 2133884791. The reversal of 2133884781 is 1874883312.

It can be written as a sum of positive squares in 2 ways, for example, as 1306171881 + 827712900 = 36141^2 + 28770^2 .

It is not a de Polignac number, because 2133884781 - 23 = 2133884773 is a prime.

It is a super-2 number, since 2×21338847812 = 9106928517166835922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133884791) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22276 + ... + 69021.

It is an arithmetic number, because the mean of its divisors is an integer number (101477727).

Almost surely, 22133884781 is an apocalyptic number.

2133884781 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2133884781 is a deficient number, since it is larger than the sum of its proper divisors (1519313391).

2133884781 is a wasteful number, since it uses less digits than its factorization.

2133884781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91370 (or 91360 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2133884781 is about 46193.9907455504. The cubic root of 2133884781 is about 1287.4300900992.

The spelling of 2133884781 in words is "two billion, one hundred thirty-three million, eight hundred eighty-four thousand, seven hundred eighty-one".

Divisors: 1 3 7 9 21 49 53 63 147 159 371 441 477 1113 2597 3339 7791 23373 91297 273891 639079 821673 1917237 4473553 4838741 5751711 13420659 14516223 33871187 40261977 43548669 101613561 237098309 304840683 711294927 2133884781