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4544970768 = 2432132427869
BaseRepresentation
bin1000011101110011…
…01100000000010000
3102201202011102210200
410032321230000100
533302003031033
62030554255200
7220425420432
oct41671540020
912652142720
104544970768
111a22576898
12a6a127500
135757c0a20
14311894652
151b9023013
hex10ee6c010

4544970768 has 60 divisors (see below), whose sum is σ = 13698042540. Its totient is φ = 1398451968.

The previous prime is 4544970707. The next prime is 4544970769. The reversal of 4544970768 is 8670794454.

4544970768 is a `hidden beast` number, since 4 + 544 + 97 + 0 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1081883664 + 3463087104 = 32892^2 + 58848^2 .

It is not an unprimeable number, because it can be changed into a prime (4544970769) 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, 1212063 + ... + 1215806.

It is an arithmetic number, because the mean of its divisors is an integer number (228300709).

Almost surely, 24544970768 is an apocalyptic number.

4544970768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4544970768 is an abundant number, since it is smaller than the sum of its proper divisors (9153071772).

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

4544970768 is a wasteful number, since it uses less digits than its factorization.

4544970768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427896 (or 2427887 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 4544970768 is about 67416.3983612296. The cubic root of 4544970768 is about 1656.4450424669.

The spelling of 4544970768 in words is "four billion, five hundred forty-four million, nine hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2427869 4855738 7283607 9711476 14567214 19422952 21850821 29134428 31562297 38845904 43701642 58268856 63124594 87403284 94686891 116537712 126249188 174806568 189373782 252498376 284060673 349613136 378747564 504996752 568121346 757495128 1136242692 1514990256 2272485384 4544970768