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5009769180 = 22325134349789
BaseRepresentation
bin1001010101001101…
…10000001011011100
3110221010202122100200
410222212300023130
540230000103210
62145040423500
7235101223023
oct45246601334
913833678320
105009769180
11214097a809
12b79917b90
1361ab9c380
143574c58ba
151e4c360c0
hex12a9b02dc

5009769180 has 144 divisors (see below), whose sum is σ = 16746169440. Its totient is φ = 1204471296.

The previous prime is 5009769161. The next prime is 5009769187. The reversal of 5009769180 is 819679005.

5009769180 is a `hidden beast` number, since 500 + 9 + 7 + 69 + 1 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009769187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75726 + ... + 125514.

Almost surely, 25009769180 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 5009769180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8373084720).

5009769180 is an abundant number, since it is smaller than the sum of its proper divisors (11736400260).

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

5009769180 is a wasteful number, since it uses less digits than its factorization.

5009769180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49860 (or 49855 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 5009769180 is about 70779.7229437923. The cubic root of 5009769180 is about 1711.0888930075.

The spelling of 5009769180 in words is "five billion, nine million, seven hundred sixty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1170 1290 1548 1677 1935 2236 2340 2580 2795 3354 3870 5031 5590 6708 7740 8385 10062 11180 16770 20124 25155 33540 49789 50310 99578 100620 149367 199156 248945 298734 448101 497890 597468 647257 746835 896202 995780 1294514 1493670 1792404 1941771 2140927 2240505 2589028 2987340 3236285 3883542 4281854 4481010 5825313 6422781 6472570 7767084 8563708 8962020 9708855 10704635 11650626 12845562 12945140 19268343 19417710 21409270 23301252 25691124 27832051 29126565 32113905 38536686 38835420 42818540 55664102 58253130 64227810 77073372 83496153 96341715 111328204 116506260 128455620 139160255 166992306 192683430 250488459 278320510 333984612 385366860 417480765 500976918 556641020 834961530 1001953836 1252442295 1669923060 2504884590 5009769180