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5110289712 = 24321115720549
BaseRepresentation
bin1001100001001100…
…01101010100110000
3111012010220121121100
410300212031110300
540431213232322
62203031124400
7240431513553
oct46046152460
914163817540
105110289712
112192697330
12ba7513700
13635965a88
143669b069a
151ed98edac
hex13098d530

5110289712 has 120 divisors (see below), whose sum is σ = 15702008400. Its totient is φ = 1538634240.

The previous prime is 5110289699. The next prime is 5110289783. The reversal of 5110289712 is 2179820115.

It is a happy number.

It is a super-2 number, since 2×51102897122 = 52230121881146085888, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 238414 + ... + 258962.

It is an arithmetic number, because the mean of its divisors is an integer number (130850070).

Almost surely, 25110289712 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 5110289712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851004200).

5110289712 is an abundant number, since it is smaller than the sum of its proper divisors (10591718688).

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

5110289712 is a wasteful number, since it uses less digits than its factorization.

5110289712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20731 (or 20722 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 5110289712 is about 71486.2903779459. The cubic root of 5110289712 is about 1722.4574697029.

The spelling of 5110289712 in words is "five billion, one hundred ten million, two hundred eighty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 157 176 198 264 314 396 471 528 628 792 942 1256 1413 1584 1727 1884 2512 2826 3454 3768 5181 5652 6908 7536 10362 11304 13816 15543 20549 20724 22608 27632 31086 41098 41448 61647 62172 82196 82896 123294 124344 164392 184941 226039 246588 248688 328784 369882 452078 493176 678117 739764 904156 986352 1356234 1479528 1808312 2034351 2712468 2959056 3226193 3616624 4068702 5424936 6452386 8137404 9678579 10849872 12904772 16274808 19357158 25809544 29035737 32549616 35488123 38714316 51619088 58071474 70976246 77428632 106464369 116142948 141952492 154857264 212928738 232285896 283904984 319393107 425857476 464571792 567809968 638786214 851714952 1277572428 1703429904 2555144856 5110289712