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5040323316 = 22327238291049
BaseRepresentation
bin1001011000110110…
…10011101011110100
3111000021020221202100
410230123103223310
540310310321231
62152051342100
7235622020110
oct45433235364
914007227670
105040323316
112157149566
12b87bb1930
13624309642
1435b59a740
151e776e1e6
hex12c6d3af4

5040323316 has 144 divisors (see below), whose sum is σ = 15226848000. Its totient is φ = 1374506496.

The previous prime is 5040323273. The next prime is 5040323333. The reversal of 5040323316 is 6133230405.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5040323316.

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, 4804360 + ... + 4805408.

It is an arithmetic number, because the mean of its divisors is an integer number (105742000).

Almost surely, 25040323316 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 5040323316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613424000).

5040323316 is an abundant number, since it is smaller than the sum of its proper divisors (10186524684).

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

5040323316 is a wasteful number, since it uses less digits than its factorization.

5040323316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5040323316 is about 70995.2344597861. The cubic root of 5040323316 is about 1714.5604379122.

The spelling of 5040323316 in words is "five billion, forty million, three hundred twenty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 829 966 1049 1449 1658 1932 2098 2487 2898 3147 3316 4196 4974 5796 5803 6294 7343 7461 9441 9948 11606 12588 14686 14922 17409 18882 19067 22029 23212 24127 29372 29844 34818 37764 38134 44058 48254 52227 57201 66087 69636 72381 76268 88116 96508 104454 114402 132174 133469 144762 168889 171603 208908 217143 228804 264348 266938 289524 337778 343206 400407 434286 506667 533876 675556 686412 800814 868572 869621 1013334 1201221 1520001 1601628 1739242 2026668 2402442 2608863 3040002 3478484 4804884 5217726 6080004 6087347 7826589 10435452 12174694 15653178 18262041 20001283 24349388 31306356 36524082 40002566 54786123 60003849 73048164 80005132 109572246 120007698 140008981 180011547 219144492 240015396 280017962 360023094 420026943 560035924 720046188 840053886 1260080829 1680107772 2520161658 5040323316