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4350516768 = 2532131161997
BaseRepresentation
bin1000000110100111…
…11001111000100000
3102020012021011001200
410003103321320200
532402213014033
61555410401200
7212544532233
oct40323717040
912205234050
104350516768
111932831704
12a14b90200
13544428ba0
142d3b1741a
151a6e12013
hex1034f9e20

4350516768 has 72 divisors (see below), whose sum is σ = 13323469068. Its totient is φ = 1338619392.

The previous prime is 4350516763. The next prime is 4350516791. The reversal of 4350516768 is 8676150534.

It can be written as a sum of positive squares in 2 ways, for example, as 4244261904 + 106254864 = 65148^2 + 10308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×43505167682 = 37853992297298331648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4350516763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577255 + ... + 584742.

Almost surely, 24350516768 is an apocalyptic number.

4350516768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4350516768 is an abundant number, since it is smaller than the sum of its proper divisors (8972952300).

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

4350516768 is a wasteful number, since it uses less digits than its factorization.

4350516768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162026 (or 1162015 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4350516768 is about 65958.4472831191. The cubic root of 4350516768 is about 1632.4765404801.

The spelling of 4350516768 in words is "four billion, three hundred fifty million, five hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 1161997 2323994 3485991 4647988 6971982 9295976 10457973 13943964 15105961 18591952 20915946 27887928 30211922 37183904 41831892 45317883 55775856 60423844 83663784 90635766 111551712 120847688 135953649 167327568 181271532 241695376 271907298 334655136 362543064 483390752 543814596 725086128 1087629192 1450172256 2175258384 4350516768