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5199577296 = 24317531091103
BaseRepresentation
bin1001101011110101…
…10100000011010000
3111102100220220010220
410311322310003100
541122042433141
62215540553040
7242564451324
oct46572640320
914370826126
105199577296
112229031421
1210113b2780
1364b2c8674
143747b3984
1520672a766
hex135eb40d0

5199577296 has 160 divisors (see below), whose sum is σ = 14636920320. Its totient is φ = 1584340992.

The previous prime is 5199577291. The next prime is 5199577307. The reversal of 5199577296 is 6927759915.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5199577291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4713481 + ... + 4714583.

It is an arithmetic number, because the mean of its divisors is an integer number (91480752).

Almost surely, 25199577296 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 5199577296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318460160).

5199577296 is an abundant number, since it is smaller than the sum of its proper divisors (9437343024).

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

5199577296 is a wasteful number, since it uses less digits than its factorization.

5199577296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1287 counting only the distinct ones).

The product of its digits is 10716300, while the sum is 60.

The square root of 5199577296 is about 72108.0945248174. The cubic root of 5199577296 is about 1732.4312654694.

The spelling of 5199577296 in words is "five billion, one hundred ninety-nine million, five hundred seventy-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 109 136 159 204 212 218 272 318 327 408 424 436 636 654 816 848 872 901 1103 1272 1308 1744 1802 1853 2206 2544 2616 2703 3309 3604 3706 4412 5232 5406 5559 5777 6618 7208 7412 8824 10812 11118 11554 13236 14416 14824 17331 17648 18751 21624 22236 23108 26472 29648 34662 37502 43248 44472 46216 52944 56253 58459 69324 75004 88944 92432 98209 112506 116918 120227 138648 150008 175377 196418 225012 233836 240454 277296 294627 300016 350754 360681 392836 450024 467672 480908 589254 701508 721362 785672 900048 935344 961816 993803 1178508 1403016 1442724 1571344 1923632 1987606 2043859 2357016 2806032 2885448 2981409 3975212 4087718 4714032 5770896 5962818 6131577 6372031 7950424 8175436 11925636 12263154 12744062 15900848 16350872 19116093 23851272 24526308 25488124 32701744 38232186 47702544 49052616 50976248 76464372 98105232 101952496 108324527 152928744 216649054 305857488 324973581 433298108 649947162 866596216 1299894324 1733192432 2599788648 5199577296