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5116952160 = 2532516132203
BaseRepresentation
bin1001100001111111…
…00111111001100000
3111012121110002202200
410300333213321200
540434414432120
62203430013200
7240542242605
oct46077477140
914177402680
105116952160
112196427991
12ba97a7200
13637159458
143678266ac
151ee358e90
hex130fe7e60

5116952160 has 144 divisors (see below), whose sum is σ = 17480355984. Its totient is φ = 1363055616.

The previous prime is 5116952131. The next prime is 5116952161. The reversal of 5116952160 is 612596115.

5116952160 is a `hidden beast` number, since 5 + 11 + 69 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5116952161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2321619 + ... + 2323821.

It is an arithmetic number, because the mean of its divisors is an integer number (121391361).

Almost surely, 25116952160 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 5116952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8740177992).

5116952160 is an abundant number, since it is smaller than the sum of its proper divisors (12363403824).

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

5116952160 is a wasteful number, since it uses less digits than its factorization.

5116952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 5116952160 is about 71532.8746801077. The cubic root of 5116952160 is about 1723.2056855879.

The spelling of 5116952160 in words is "five billion, one hundred sixteen million, nine hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1613 2203 3226 4406 4839 6452 6609 8065 8812 9678 11015 12904 13218 14517 16130 17624 19356 19827 22030 24195 25808 26436 29034 32260 33045 35248 38712 39654 44060 48390 51616 52872 58068 64520 66090 70496 72585 77424 79308 88120 96780 99135 105744 116136 129040 132180 145170 154848 158616 176240 193560 198270 211488 232272 258080 264360 290340 317232 352480 387120 396540 464544 528720 580680 634464 774240 793080 1057440 1161360 1586160 2322720 3172320 3553439 7106878 10660317 14213756 17767195 21320634 28427512 31980951 35534390 42641268 53301585 56855024 63961902 71068780 85282536 106603170 113710048 127923804 142137560 159904755 170565072 213206340 255847608 284275120 319809510 341130144 426412680 511695216 568550240 639619020 852825360 1023390432 1279238040 1705650720 2558476080 5116952160