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5218748160 = 28352275987
BaseRepresentation
bin1001101110000111…
…11100011100000000
3111110200222212121220
410313003330130000
541141444420120
62221503515040
7243216425133
oct46703743400
914420885556
105218748160
11223893580a
1210178b8a80
1365227b582
1437716421a
15208265b40
hex1370fc700

5218748160 has 144 divisors (see below), whose sum is σ = 16743597696. Its totient is φ = 1385304064.

The previous prime is 5218748149. The next prime is 5218748201. The reversal of 5218748160 is 618478125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868687 + ... + 874673.

It is an arithmetic number, because the mean of its divisors is an integer number (116274984).

Almost surely, 25218748160 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 5218748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8371798848).

5218748160 is an abundant number, since it is smaller than the sum of its proper divisors (11524849536).

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

5218748160 is a wasteful number, since it uses less digits than its factorization.

5218748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 5218748160 is about 72240.9036488332. The cubic root of 5218748160 is about 1734.5578146001.

It can be divided in two parts, 5218 and 748160, that added together give a triangular number (753378 = T1227).

The spelling of 5218748160 in words is "five billion, two hundred eighteen million, seven hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 227 240 256 320 384 454 480 640 681 768 908 960 1135 1280 1362 1816 1920 2270 2724 3405 3632 3840 4540 5448 5987 6810 7264 9080 10896 11974 13620 14528 17961 18160 21792 23948 27240 29056 29935 35922 36320 43584 47896 54480 58112 59870 71844 72640 87168 89805 95792 108960 119740 143688 145280 174336 179610 191584 217920 239480 287376 290560 359220 383168 435840 478960 574752 718440 766336 871680 957920 1149504 1359049 1436880 1532672 1915840 2299008 2718098 2873760 3831680 4077147 4598016 5436196 5747520 6795245 7663360 8154294 10872392 11495040 13590490 16308588 20385735 21744784 22990080 27180980 32617176 40771470 43489568 54361960 65234352 81542940 86979136 108723920 130468704 163085880 173958272 217447840 260937408 326171760 347916544 434895680 521874816 652343520 869791360 1043749632 1304687040 1739582720 2609374080 5218748160