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5199682824 = 2332723147543
BaseRepresentation
bin1001101011110110…
…01101110100001000
3111102101010020220100
410311323031310020
541122104322244
62215543125400
7242565401100
oct46573156410
914371106810
105199682824
1122290a3736
121011443860
1364b3346cb
14374800200
1520674bb69
hex135ecdd08

5199682824 has 144 divisors (see below), whose sum is σ = 16910449920. Its totient is φ = 1437670080.

The previous prime is 5199682811. The next prime is 5199682877. The reversal of 5199682824 is 4282869915.

It is a happy number.

It is a super-2 number, since 2×51996828242 = 54073402940401229952, which contains 22 as substring.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 85597 + ... + 133139.

It is an arithmetic number, because the mean of its divisors is an integer number (117433680).

Almost surely, 25199682824 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 5199682824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8455224960).

5199682824 is an abundant number, since it is smaller than the sum of its proper divisors (11710767096).

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

5199682824 is a wasteful number, since it uses less digits than its factorization.

5199682824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47600 (or 47586 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 5199682824 is about 72108.8262558752. The cubic root of 5199682824 is about 1732.4429855740.

The spelling of 5199682824 in words is "five billion, one hundred ninety-nine million, six hundred eighty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 147 168 186 196 217 248 252 279 294 372 392 434 441 504 558 588 651 744 868 882 1116 1176 1302 1519 1736 1764 1953 2232 2604 3038 3528 3906 4557 5208 6076 7812 9114 12152 13671 15624 18228 27342 36456 47543 54684 95086 109368 142629 190172 285258 332801 380344 427887 570516 665602 855774 998403 1141032 1331204 1473833 1711548 1996806 2329607 2662408 2947666 2995209 3423096 3993612 4421499 4659214 5895332 5990418 6988821 7987224 8842998 9318428 10316831 11790664 11980836 13264497 13977642 17685996 18636856 20633662 20966463 23961672 26528994 27955284 30950493 35371992 41267324 41932926 53057988 55910568 61900986 72217817 82534648 83865852 92851479 106115976 123801972 144435634 167731704 185702958 216653451 247603944 288871268 371405916 433306902 577742536 649960353 742811832 866613804 1299920706 1733227608 2599841412 5199682824