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5105016560 = 245716355927
BaseRepresentation
bin1001100000100100…
…00101111011110000
3111011202222201012102
410300102011323300
540423341012220
62202322115532
7240335632130
oct46022057360
914152881172
105105016560
11218a715556
12ba57abba8
1363483a877
14365ddaac0
151ed29c775
hex130485ef0

5105016560 has 80 divisors (see below), whose sum is σ = 13648221696. Its totient is φ = 1739522304.

The previous prime is 5105016557. The next prime is 5105016583. The reversal of 5105016560 is 656105015.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×51050165602 = 52122388155748467200, 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 15 ways as a sum of consecutive naturals, for example, 63317 + ... + 119243.

Almost surely, 25105016560 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 5105016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6824110848).

5105016560 is an abundant number, since it is smaller than the sum of its proper divisors (8543205136).

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

5105016560 is a wasteful number, since it uses less digits than its factorization.

5105016560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56110 (or 56104 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 5105016560 is about 71449.3985978888. The cubic root of 5105016560 is about 1721.8648153762.

The spelling of 5105016560 in words is "five billion, one hundred five million, sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 163 280 326 560 652 815 1141 1304 1630 2282 2608 3260 4564 5705 6520 9128 11410 13040 18256 22820 45640 55927 91280 111854 223708 279635 391489 447416 559270 782978 894832 1118540 1565956 1957445 2237080 3131912 3914890 4474160 6263824 7829780 9116101 15659560 18232202 31319120 36464404 45580505 63812707 72928808 91161010 127625414 145857616 182322020 255250828 319063535 364644040 510501656 638127070 729288080 1021003312 1276254140 2552508280 5105016560