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5040213354 = 23211471134793
BaseRepresentation
bin1001011000110101…
…11000110101101010
3111000021001100220200
410230122320311222
540310243311404
62152045133030
7235621051401
oct45432706552
914007040820
105040213354
112157083990
12b87b5a176
1362429b587
1435b56c638
151e774b839
hex12c6b8d6a

5040213354 has 96 divisors (see below), whose sum is σ = 12276935424. Its totient is φ = 1481303040.

The previous prime is 5040213319. The next prime is 5040213359. The reversal of 5040213354 is 4533120405.

It is not an unprimeable number, because it can be changed into a prime (5040213359) 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, 1049182 + ... + 1053974.

It is an arithmetic number, because the mean of its divisors is an integer number (127884744).

Almost surely, 25040213354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040213354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138467712).

5040213354 is an abundant number, since it is smaller than the sum of its proper divisors (7236722070).

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

5040213354 is a wasteful number, since it uses less digits than its factorization.

5040213354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5040213354 is about 70994.4600233004. The cubic root of 5040213354 is about 1714.5479692765.

Adding to 5040213354 its reverse (4533120405), we get a palindrome (9573333759).

The spelling of 5040213354 in words is "five billion, forty million, two hundred thirteen thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 113 141 198 226 282 339 423 517 678 846 1017 1034 1243 1551 2034 2486 3102 3729 4653 4793 5311 7458 9306 9586 10622 11187 14379 15933 22374 28758 31866 43137 47799 52723 58421 86274 95598 105446 116842 158169 175263 225271 316338 350526 450542 474507 525789 541609 675813 949014 1051578 1083218 1351626 1624827 2027439 2477981 3249654 4054878 4874481 4955962 5957699 7433943 9748962 11915398 14867886 17873097 22301829 25455623 35746194 44603658 50911246 53619291 76366869 107238582 152733738 229100607 280011853 458201214 560023706 840035559 1680071118 2520106677 5040213354