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4013241633 = 34791036089
BaseRepresentation
bin1110111100110101…
…0011010100100001
3101100200121210120000
43233031103110201
531204342213013
61502121410213
7201310663632
oct35715232441
911320553500
104013241633
11177a408925
12940039969
134bc5a98bb
142a0ddd889
151874dd973
hexef353521

4013241633 has 40 divisors (see below), whose sum is σ = 6130924800. Its totient is φ = 2615550912.

The previous prime is 4013241619. The next prime is 4013241677. The reversal of 4013241633 is 3361423104.

4013241633 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 24 + 1 + 633 = 666.

It is not a de Polignac number, because 4013241633 - 25 = 4013241601 is a prime.

It is a super-2 number, since 2×40132416332 = 32212216809689013378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4013241597 and 4013241606.

It is not an unprimeable number, because it can be changed into a prime (4013241613) 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 39 ways as a sum of consecutive naturals, for example, 656053 + ... + 662141.

It is an arithmetic number, because the mean of its divisors is an integer number (153273120).

Almost surely, 24013241633 is an apocalyptic number.

It is an amenable number.

4013241633 is a deficient number, since it is larger than the sum of its proper divisors (2117683167).

4013241633 is a wasteful number, since it uses less digits than its factorization.

4013241633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6283 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4013241633 is about 63350.1510100805. The cubic root of 4013241633 is about 1589.1507711375.

Adding to 4013241633 its reverse (3361423104), we get a palindrome (7374664737).

The spelling of 4013241633 in words is "four billion, thirteen million, two hundred forty-one thousand, six hundred thirty-three".

Divisors: 1 3 9 27 79 81 103 237 309 711 927 2133 2781 6089 6399 8137 8343 18267 24411 54801 73233 164403 219699 481031 493209 627167 659097 1443093 1881501 4329279 5644503 12987837 16933509 38963511 49546193 50800527 148638579 445915737 1337747211 4013241633