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5204344068 = 2233711256893
BaseRepresentation
bin1001101100011001…
…11111110100000100
3111102200220001221000
410312030333310010
541124303002233
62220231053300
7242653123530
oct46614776404
914380801830
105204344068
112230797800
121012b11230
1364c2a7241
14375294bc0
15206d6cd13
hex13633fd04

5204344068 has 144 divisors (see below), whose sum is σ = 16949860480. Its totient is φ = 1351753920.

The previous prime is 5204344001. The next prime is 5204344069. The reversal of 5204344068 is 8604434025.

5204344068 is a `hidden beast` number, since 5 + 204 + 3 + 440 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5204344069) 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 47 ways as a sum of consecutive naturals, for example, 63030 + ... + 119922.

Almost surely, 25204344068 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 5204344068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474930240).

5204344068 is an abundant number, since it is smaller than the sum of its proper divisors (11745516412).

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

5204344068 is a wasteful number, since it uses less digits than its factorization.

5204344068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56935 (or 56916 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 5204344068 is about 72141.1399133670. The cubic root of 5204344068 is about 1732.9605125018.

The spelling of 5204344068 in words is "five billion, two hundred four million, three hundred forty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 198 231 242 252 297 308 363 378 396 462 484 594 693 726 756 847 924 1089 1188 1386 1452 1694 2079 2178 2541 2772 3267 3388 4158 4356 5082 6534 7623 8316 10164 13068 15246 22869 30492 45738 56893 91476 113786 170679 227572 341358 398251 512037 625823 682716 796502 1024074 1194753 1251646 1536111 1593004 1877469 2048148 2389506 2503292 3072222 3584259 3754938 4380761 4779012 5632407 6144444 6884053 7168518 7509876 8761522 10752777 11264814 13142283 13768106 14337036 16897221 17523044 20652159 21505554 22529628 26284566 27536212 33794442 39426849 41304318 43011108 48188371 52569132 61956477 67588884 78853698 82608636 96376742 118280547 123912954 144565113 157707396 185869431 192753484 236561094 247825908 289130226 371738862 433695339 473122188 578260452 743477724 867390678 1301086017 1734781356 2602172034 5204344068