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5074693820 = 2257241532383
BaseRepresentation
bin1001011100111100…
…11010111010111100
3111002122221011012222
410232132122322330
540343110200240
62155320144512
7236520120500
oct45636327274
914078834188
105074693820
112174594639
12b97608138
1362b481a11
14361d86300
151ea7aceb5
hex12e79aebc

5074693820 has 144 divisors (see below), whose sum is σ = 12944147328. Its totient is φ = 1664732160.

The previous prime is 5074693777. The next prime is 5074693843. The reversal of 5074693820 is 283964705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2128349 + ... + 2130731.

It is an arithmetic number, because the mean of its divisors is an integer number (89889912).

Almost surely, 25074693820 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 5074693820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472073664).

5074693820 is an abundant number, since it is smaller than the sum of its proper divisors (7869453508).

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

5074693820 is a wasteful number, since it uses less digits than its factorization.

5074693820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 5074693820 is about 71236.8852491460. The cubic root of 5074693820 is about 1718.4488697433.

The spelling of 5074693820 in words is "five billion, seventy-four million, six hundred ninety-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 53 70 82 98 106 140 164 196 205 212 245 265 287 371 410 490 530 574 742 820 980 1060 1148 1435 1484 1855 2009 2173 2383 2597 2870 3710 4018 4346 4766 5194 5740 7420 8036 8692 9532 10045 10388 10865 11915 12985 15211 16681 20090 21730 23830 25970 30422 33362 40180 43460 47660 51940 60844 66724 76055 83405 97703 106477 116767 126299 152110 166810 195406 212954 233534 252598 304220 333620 390812 425908 467068 488515 505196 532385 583835 631495 683921 884093 977030 1064770 1167670 1262990 1367842 1768186 1954060 2129540 2335340 2525980 2735684 3419605 3536372 4420465 4787447 5178259 6188651 6839210 8840930 9574894 10356518 12377302 13678420 17681860 19149788 20713036 23937235 24754604 25891295 30943255 36247813 47874470 51782590 61886510 72495626 95748940 103565180 123773020 144991252 181239065 253734691 362478130 507469382 724956260 1014938764 1268673455 2537346910 5074693820