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5308788180 = 2235473535333
BaseRepresentation
bin1001111000110110…
…11010110111010100
3111200222102101022110
410330123122313110
541333022210210
62234441431020
7245361645363
oct47433326724
914628371273
105308788180
112284744153
121041a9b470
13667b157a7
143850c17da
152110ee420
hex13c6dadd4

5308788180 has 96 divisors (see below), whose sum is σ = 15226735104. Its totient is φ = 1381371904.

The previous prime is 5308788179. The next prime is 5308788181. The reversal of 5308788180 is 818878035.

It is an interprime number because it is at equal distance from previous prime (5308788179) and next prime (5308788181).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5308788181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992794 + ... + 998126.

It is an arithmetic number, because the mean of its divisors is an integer number (158611824).

Almost surely, 25308788180 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 5308788180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613367552).

5308788180 is an abundant number, since it is smaller than the sum of its proper divisors (9917946924).

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

5308788180 is a wasteful number, since it uses less digits than its factorization.

5308788180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The square root of 5308788180 is about 72861.4313611804. The cubic root of 5308788180 is about 1744.4765363918.

The spelling of 5308788180 in words is "five billion, three hundred eight million, seven hundred eighty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 353 470 564 705 706 940 1059 1410 1412 1765 2118 2820 3530 4236 5295 5333 7060 10590 10666 15999 16591 21180 21332 26665 31998 33182 49773 53330 63996 66364 79995 82955 99546 106660 159990 165910 199092 248865 250651 319980 331820 497730 501302 751953 995460 1002604 1253255 1503906 1882549 2506510 3007812 3759765 3765098 5013020 5647647 7519530 7530196 9412745 11295294 15039060 18825490 22590588 28238235 37650980 56476470 88479803 112952940 176959606 265439409 353919212 442399015 530878818 884798030 1061757636 1327197045 1769596060 2654394090 5308788180