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4443715968 = 27369116747
BaseRepresentation
bin1000010001101110…
…11011100110000000
3102110200122011022220
410020313123212000
533100042402333
62012540131040
7215055651066
oct41067334600
912420564286
104443715968
1119803a863a
12a40236a80
1355a82b043
14302258036
151b01c18b3
hex108ddb980

4443715968 has 64 divisors (see below), whose sum is σ = 11821408320. Its totient is φ = 1479006720.

The previous prime is 4443715967. The next prime is 4443715981. The reversal of 4443715968 is 8695173444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×44437159682 = 39493223208516354048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4443715968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4443715961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256971 + ... + 273717.

It is an arithmetic number, because the mean of its divisors is an integer number (184709505).

Almost surely, 24443715968 is an apocalyptic number.

4443715968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4443715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5910704160).

4443715968 is an abundant number, since it is smaller than the sum of its proper divisors (7377692352).

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

4443715968 is a wasteful number, since it uses less digits than its factorization.

4443715968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17455 (or 17443 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 4443715968 is about 66661.2028694352. The cubic root of 4443715968 is about 1644.0515491085.

The spelling of 4443715968 in words is "four billion, four hundred forty-three million, seven hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 691 1382 2073 2764 4146 5528 8292 11056 16584 16747 22112 33168 33494 44224 50241 66336 66988 88448 100482 132672 133976 200964 265344 267952 401928 535904 803856 1071808 1607712 2143616 3215424 6430848 11572177 23144354 34716531 46288708 69433062 92577416 138866124 185154832 277732248 370309664 555464496 740619328 1110928992 1481238656 2221857984 4443715968