Search a number
-
+
5003345688 = 23311313311847
BaseRepresentation
bin1001010100011100…
…01111111100011000
3110220200200021222120
410222032033330120
540221324030223
62144251021240
7234662510445
oct45216177430
913820607876
105003345688
112138292740
12b7773a820
136197606a3
143566d29cc
151e43b7be3
hex12a38ff18

5003345688 has 128 divisors (see below), whose sum is σ = 14135869440. Its totient is φ = 1462032000.

The previous prime is 5003345681. The next prime is 5003345693. The reversal of 5003345688 is 8865433005.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003345681) 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 31 ways as a sum of consecutive naturals, for example, 2707981 + ... + 2709827.

It is an arithmetic number, because the mean of its divisors is an integer number (110436480).

Almost surely, 25003345688 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 5003345688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7067934720).

5003345688 is an abundant number, since it is smaller than the sum of its proper divisors (9132523752).

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

5003345688 is a wasteful number, since it uses less digits than its factorization.

5003345688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 5003345688 is about 70734.3317491584. The cubic root of 5003345688 is about 1710.3572647049.

The spelling of 5003345688 in words is "five billion, three million, three hundred forty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 331 341 372 662 682 744 993 1023 1324 1364 1847 1986 2046 2648 2728 3641 3694 3972 4092 5541 7282 7388 7944 8184 10261 10923 11082 14564 14776 20317 20522 21846 22164 29128 30783 40634 41044 43692 44328 57257 60951 61566 81268 82088 87384 112871 114514 121902 123132 162536 171771 225742 229028 243804 246264 338613 343542 451484 458056 487608 611357 629827 677226 687084 902968 1222714 1259654 1354452 1374168 1834071 1889481 2445428 2519308 2708904 3668142 3778962 4890856 5038616 6724927 7336284 7557924 13449854 14672568 15115848 18952067 20174781 26899708 37904134 40349562 53799416 56856201 75808268 80699124 113712402 151616536 161398248 208472737 227424804 416945474 454849608 625418211 833890948 1250836422 1667781896 2501672844 5003345688