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5218288120 = 235417940277
BaseRepresentation
bin1001101110000100…
…01100000111111000
3111110200010111120101
410313002030013320
541141340204440
62221450005144
7243212500663
oct46702140770
914420114511
105218288120
112238651111
1210177167b4
1365214a066
143770846da
152081c469a
hex13708c1f8

5218288120 has 64 divisors (see below), whose sum is σ = 12180067200. Its totient is φ = 2010577920.

The previous prime is 5218288109. The next prime is 5218288121. The reversal of 5218288120 is 218828125.

It is a self number, because there is not a number n which added to its sum of digits gives 5218288120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5218288121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109422 + ... + 149698.

It is an arithmetic number, because the mean of its divisors is an integer number (190313550).

Almost surely, 25218288120 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 5218288120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090033600).

5218288120 is an abundant number, since it is smaller than the sum of its proper divisors (6961779080).

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

5218288120 is a wasteful number, since it uses less digits than its factorization.

5218288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40408 (or 40404 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 5218288120 is about 72237.7195099624. The cubic root of 5218288120 is about 1734.5068451977.

It can be divided in two parts, 521 and 8288120, that added together give a square (8288641 = 28792).

The spelling of 5218288120 in words is "five billion, two hundred eighteen million, two hundred eighty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 79 82 158 164 205 316 328 395 410 632 790 820 1580 1640 3160 3239 6478 12956 16195 25912 32390 40277 64780 80554 129560 161108 201385 322216 402770 805540 1611080 1651357 3181883 3302714 6363766 6605428 8256785 12727532 13210856 15909415 16513570 25455064 31818830 33027140 63637660 66054280 127275320 130457203 260914406 521828812 652286015 1043657624 1304572030 2609144060 5218288120