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5010168024 = 23321011036689
BaseRepresentation
bin1001010101010000…
…10001100011011000
3110221011111220110200
410222220101203120
540230100334044
62145053142200
7235104503601
oct45250214330
913834456420
105010168024
112141122434
12b79a8a960
1361acaba84
1435758ada8
151e4cb4369
hex12aa118d8

5010168024 has 96 divisors (see below), whose sum is σ = 13838666400. Its totient is φ = 1637222400.

The previous prime is 5010167989. The next prime is 5010168101. The reversal of 5010168024 is 4208610105.

It is a congruent number.

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, 745672 + ... + 752360.

It is an arithmetic number, because the mean of its divisors is an integer number (144152775).

Almost surely, 25010168024 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 5010168024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919333200).

5010168024 is an abundant number, since it is smaller than the sum of its proper divisors (8828498376).

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

5010168024 is a wasteful number, since it uses less digits than its factorization.

5010168024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5010168024 is about 70782.5403895622. The cubic root of 5010168024 is about 1711.1343002511.

Adding to 5010168024 its reverse (4208610105), we get a palindrome (9218778129).

The spelling of 5010168024 in words is "five billion, ten million, one hundred sixty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 103 202 206 303 309 404 412 606 618 808 824 909 927 1212 1236 1818 1854 2424 2472 3636 3708 6689 7272 7416 10403 13378 20067 20806 26756 31209 40134 41612 53512 60201 62418 80268 83224 93627 120402 124836 160536 187254 240804 249672 374508 481608 675589 688967 749016 1351178 1377934 2026767 2066901 2702356 2755868 4053534 4133802 5404712 5511736 6080301 6200703 8107068 8267604 12160602 12401406 16214136 16535208 24321204 24802812 48642408 49605624 69585667 139171334 208757001 278342668 417514002 556685336 626271003 835028004 1252542006 1670056008 2505084012 5010168024