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5169668416 = 261123378629
BaseRepresentation
bin1001101000010001…
…01110000101000000
3111100021122100212121
410310020232011000
541041413342131
62212551534024
7242052312403
oct46410560500
914307570777
105169668416
112213163440
12100338a314
13645055cc3
14370829d3a
15203cbd911
hex13422e140

5169668416 has 112 divisors (see below), whose sum is σ = 11994733440. Its totient is φ = 2186680320.

The previous prime is 5169668381. The next prime is 5169668417. The reversal of 5169668416 is 6148669615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5169668417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594790 + ... + 603418.

Almost surely, 25169668416 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 5169668416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997366720).

5169668416 is an abundant number, since it is smaller than the sum of its proper divisors (6825065024).

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

5169668416 is a wasteful number, since it uses less digits than its factorization.

5169668416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712 (or 8702 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The square root of 5169668416 is about 71900.4062297286. The cubic root of 5169668416 is about 1729.1031265081.

The spelling of 5169668416 in words is "five billion, one hundred sixty-nine million, six hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 37 44 46 64 74 88 92 148 176 184 253 296 352 368 407 506 592 704 736 814 851 1012 1184 1472 1628 1702 2024 2368 3256 3404 4048 6512 6808 8096 8629 9361 13024 13616 16192 17258 18722 26048 27232 34516 37444 54464 69032 74888 94919 138064 149776 189838 198467 276128 299552 319273 379676 396934 552256 599104 638546 759352 793868 1277092 1518704 1587736 2183137 2554184 3037408 3175472 3512003 4366274 5108368 6074816 6350944 7024006 7343279 8732548 10216736 12701888 14048012 14686558 17465096 20433472 28096024 29373116 34930192 56192048 58746232 69860384 80776069 112384096 117492464 139720768 161552138 224768192 234984928 323104276 469969856 646208552 1292417104 2584834208 5169668416