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5171150320 = 24573199947
BaseRepresentation
bin1001101000011100…
…10111110111110000
3111100101102122122221
410310032113313300
541042303302240
62213043410424
7242101024000
oct46416276760
914311378587
105171150320
112213a85856
121003983a14
1364545467b
14370ad4000
15203eb2a4a
hex134397df0

5171150320 has 160 divisors (see below), whose sum is σ = 14106240000. Its totient is φ = 1762193664.

The previous prime is 5171150317. The next prime is 5171150339. The reversal of 5171150320 is 230511715.

It is a super-2 number, since 2×51711503202 = 53481591264072204800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5460087 + ... + 5461033.

It is an arithmetic number, because the mean of its divisors is an integer number (88164000).

Almost surely, 25171150320 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 5171150320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053120000).

5171150320 is an abundant number, since it is smaller than the sum of its proper divisors (8935089680).

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

5171150320 is a wasteful number, since it uses less digits than its factorization.

5171150320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 5171150320 is about 71910.7107460356. The cubic root of 5171150320 is about 1729.2683285956.

The spelling of 5171150320 in words is "five billion, one hundred seventy-one million, one hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 199 245 280 343 392 398 490 560 686 784 796 947 980 995 1372 1393 1592 1715 1894 1960 1990 2744 2786 3184 3430 3788 3920 3980 4735 5488 5572 6629 6860 6965 7576 7960 9470 9751 11144 13258 13720 13930 15152 15920 18940 19502 22288 26516 27440 27860 33145 37880 39004 46403 48755 53032 55720 66290 68257 75760 78008 92806 97510 106064 111440 132580 136514 156016 185612 188453 195020 232015 265160 273028 324821 341285 371224 376906 390040 464030 530320 546056 649642 682570 742448 753812 780080 928060 942265 1092112 1299284 1319171 1365140 1507624 1624105 1856120 1884530 2598568 2638342 2730280 3015248 3248210 3712240 3769060 5197136 5276684 5460560 6496420 6595855 7538120 9234197 10553368 12992840 13191710 15076240 18468394 21106736 25985680 26383420 36936788 46170985 52766840 64639379 73873576 92341970 105533680 129278758 147747152 184683940 258557516 323196895 369367880 517115032 646393790 738735760 1034230064 1292787580 2585575160 5171150320