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5118460416 = 29333710007
BaseRepresentation
bin1001100010001010…
…11000001000000000
3111012201021201201000
410301011120020000
540440311213131
62203522212000
7240561124056
oct46105301000
914181251630
105118460416
112197268083
12baa1b4000
13637566b04
14367ada1d6
151ee555ce6
hex131158200

5118460416 has 160 divisors (see below), whose sum is σ = 15562039680. Its totient is φ = 1659875328.

The previous prime is 5118460397. The next prime is 5118460441. The reversal of 5118460416 is 6140648115.

5118460416 is a `hidden beast` number, since 5 + 1 + 184 + 60 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506485 + ... + 516491.

It is an arithmetic number, because the mean of its divisors is an integer number (97262748).

Almost surely, 25118460416 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 5118460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781019840).

5118460416 is an abundant number, since it is smaller than the sum of its proper divisors (10443579264).

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

5118460416 is a wasteful number, since it uses less digits than its factorization.

5118460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10071 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5118460416 is about 71543.4163008729. The cubic root of 5118460416 is about 1723.3749777703.

The spelling of 5118460416 in words is "five billion, one hundred eighteen million, four hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 512 576 592 666 768 864 888 999 1152 1184 1332 1536 1728 1776 1998 2304 2368 2664 3456 3552 3996 4608 4736 5328 6912 7104 7992 9472 10007 10656 13824 14208 15984 18944 20014 21312 28416 30021 31968 40028 42624 56832 60042 63936 80056 85248 90063 120084 127872 160112 170496 180126 240168 255744 270189 320224 360252 370259 480336 511488 540378 640448 720504 740518 960672 1080756 1110777 1280896 1441008 1481036 1921344 2161512 2221554 2561792 2882016 2962072 3332331 3842688 4323024 4443108 5123584 5764032 5924144 6664662 7685376 8646048 8886216 9996993 11528064 11848288 13329324 15370752 17292096 17772432 19993986 23056128 23696576 26658648 34584192 35544864 39987972 46112256 47393152 53317296 69168384 71089728 79975944 94786304 106634592 138336768 142179456 159951888 189572608 213269184 284358912 319903776 426538368 568717824 639807552 853076736 1279615104 1706153472 2559230208 5118460416