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4500933921 = 321121921072
BaseRepresentation
bin1000011000100011…
…01100110100100001
3102121200022010121100
410030101230310201
533204214341141
62022342345013
7216352210221
oct41421546441
912550263540
104500933921
1119aa729300
12a5742b169
13569642913
14309ab0081
151b52250b6
hex10c46cd21

4500933921 has 81 divisors (see below), whose sum is σ = 7613162193. Its totient is φ = 2560116240.

The previous prime is 4500933887. The next prime is 4500933937. The reversal of 4500933921 is 1293390054.

It is a happy number.

The square root of 4500933921 is 67089.

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

It is not a de Polignac number, because 4500933921 - 223 = 4492545313 is a prime.

It is a super-2 number, since 2×45009339212 = 40516812322416868482, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4500932921) 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 80 ways as a sum of consecutive naturals, for example, 42064750 + ... + 42064856.

Almost surely, 24500933921 is an apocalyptic number.

4500933921 is the 67089-th square number.

4500933921 is the 33545-th centered octagonal number.

It is an amenable number.

4500933921 is a deficient number, since it is larger than the sum of its proper divisors (3112228272).

4500933921 is a wasteful number, since it uses less digits than its factorization.

4500933921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The cubic root of 4500933921 is about 1651.0778291100.

Multiplying 4500933921 by its sum of digits (36), we get a square (162033621156 = 4025342).

The spelling of 4500933921 in words is "four billion, five hundred million, nine hundred thirty-three thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 99 107 121 171 209 321 361 363 627 963 1083 1089 1177 1881 2033 2299 3249 3531 3971 6099 6897 10593 11449 11913 12947 18297 20691 22363 34347 35739 38627 38841 43681 67089 103041 115881 116523 125939 131043 201267 217531 245993 347643 377817 393129 424897 652593 737979 1133451 1274691 1385329 1957779 2213937 2392841 3824073 4133089 4155987 4673867 7178523 12399267 12467961 14021601 21535569 26321251 37197801 42064803 45463979 78963753 136391937 236891259 409175811 500103769 1500311307 4500933921