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5413053324 = 2237282111213
BaseRepresentation
bin1010000101010010…
…01010001110001100
3111222020121121012110
411002221022032030
542041220201244
62253044304020
7251066123400
oct50251121614
914866547173
105413053324
112328589098
1210709a2010
136835c0743
14394ca3100
1521a3479b9
hex142a4a38c

5413053324 has 72 divisors (see below), whose sum is σ = 14711781168. Its totient is φ = 1544565120.

The previous prime is 5413053307. The next prime is 5413053367. The reversal of 5413053324 is 4233503145.

It is a super-2 number, since 2×54130533242 = 58602292576934897952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5413053291 and 5413053300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 477142 + ... + 488354.

It is an arithmetic number, because the mean of its divisors is an integer number (204330294).

Almost surely, 25413053324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5413053324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7355890584).

5413053324 is an abundant number, since it is smaller than the sum of its proper divisors (9298727844).

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

5413053324 is a wasteful number, since it uses less digits than its factorization.

5413053324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12055 (or 12046 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 5413053324 is about 73573.4552946917. The cubic root of 5413053324 is about 1755.8231406224.

Adding to 5413053324 its reverse (4233503145), we get a palindrome (9646556469).

The spelling of 5413053324 in words is "five billion, four hundred thirteen million, fifty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 821 1642 2463 3284 4926 5747 9852 11213 11494 17241 22426 22988 33639 34482 40229 44852 67278 68964 78491 80458 120687 134556 156982 160916 235473 241374 313964 470946 482748 549437 941892 1098874 1648311 2197748 3296622 6593244 9205873 18411746 27617619 36823492 55235238 64441111 110470476 128882222 193323333 257764444 386646666 451087777 773293332 902175554 1353263331 1804351108 2706526662 5413053324