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5005632720 = 24351110118773
BaseRepresentation
bin1001010100101101…
…11110010011010000
3110220211222111012110
410222112332103100
540222420221340
62144412025320
7235021114254
oct45226762320
913824874173
105005632720
112139604a50
12b78462240
1361a08166a
14356b2a264
151e46ba680
hex12a5be4d0

5005632720 has 160 divisors (see below), whose sum is σ = 17096655744. Its totient is φ = 1201408000.

The previous prime is 5005632719. The next prime is 5005632743. The reversal of 5005632720 is 272365005.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257254 + ... + 276026.

Almost surely, 25005632720 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 5005632720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8548327872).

5005632720 is an abundant number, since it is smaller than the sum of its proper divisors (12091023024).

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

5005632720 is a wasteful number, since it uses less digits than its factorization.

5005632720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18901 (or 18895 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 5005632720 is about 70750.4962526766. The cubic root of 5005632720 is about 1710.6178267492.

Adding to 5005632720 its reverse (272365005), we get a palindrome (5277997725).

The spelling of 5005632720 in words is "five billion, five million, six hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 16665 17776 18773 22220 24240 26664 33330 37546 44440 53328 56319 66660 75092 88880 93865 112638 133320 150184 187730 206503 225276 266640 281595 300368 375460 413006 450552 563190 619509 750920 826012 901104 1032515 1126380 1239018 1501840 1652024 1896073 2065030 2252760 2478036 3097545 3304048 3792146 4130060 4505520 4956072 5688219 6195090 7584292 8260120 9480365 9912144 11376438 12390180 15168584 16520240 18960730 20856803 22752876 24780360 28441095 30337168 37921460 41713606 45505752 49560720 56882190 62570409 75842920 83427212 91011504 104284015 113764380 125140818 151685840 166854424 208568030 227528760 250281636 312852045 333708848 417136060 455057520 500563272 625704090 834272120 1001126544 1251408180 1668544240 2502816360 5005632720