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5010389760 = 28352575077
BaseRepresentation
bin1001010101010010…
…00111101100000000
3110221011221011122010
410222221013230000
540230124433020
62145102012520
7235106416215
oct45251075400
913834834563
105010389760
112141263a92
12b79b77140
1361b05898c
14357607b0c
151e4d09de0
hex12aa47b00

5010389760 has 144 divisors (see below), whose sum is σ = 16067360736. Its totient is φ = 1330642944.

The previous prime is 5010389723. The next prime is 5010389767. The reversal of 5010389760 is 679830105.

It is a super-2 number, since 2×50103897602 = 50208011094225715200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5010389767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 984342 + ... + 989418.

It is an arithmetic number, because the mean of its divisors is an integer number (111578894).

Almost surely, 25010389760 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 5010389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033680368).

5010389760 is an abundant number, since it is smaller than the sum of its proper divisors (11056970976).

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

5010389760 is a wasteful number, since it uses less digits than its factorization.

5010389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 5010389760 is about 70784.1066906972. The cubic root of 5010389760 is about 1711.1595432154.

The spelling of 5010389760 in words is "five billion, ten million, three hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 257 320 384 480 514 640 768 771 960 1028 1280 1285 1542 1920 2056 2570 3084 3840 3855 4112 5077 5140 6168 7710 8224 10154 10280 12336 15231 15420 16448 20308 20560 24672 25385 30462 30840 32896 40616 41120 49344 50770 60924 61680 65792 76155 81232 82240 98688 101540 121848 123360 152310 162464 164480 197376 203080 243696 246720 304620 324928 328960 406160 487392 493440 609240 649856 812320 974784 986880 1218480 1299712 1304789 1624640 1949568 2436960 2609578 3249280 3899136 3914367 4873920 5219156 6498560 6523945 7828734 9747840 10438312 13047890 15657468 19495680 19571835 20876624 26095780 31314936 39143670 41753248 52191560 62629872 78287340 83506496 104383120 125259744 156574680 167012992 208766240 250519488 313149360 334025984 417532480 501038976 626298720 835064960 1002077952 1252597440 1670129920 2505194880 5010389760