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4681841568 = 253731813691
BaseRepresentation
bin1000101110000111…
…10011101110100000
3110002021201012020120
410113003303232200
534042022412233
62052324040240
7224006665605
oct42703635640
913067635216
104681841568
111a92860958
12aa7b33080
13597c73971
14325b226ac
151c605c4b3
hex1170f3ba0

4681841568 has 96 divisors (see below), whose sum is σ = 12530411712. Its totient is φ = 1530316800.

The previous prime is 4681841551. The next prime is 4681841569. The reversal of 4681841568 is 8651481864.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4681841568.

It is not an unprimeable number, because it can be changed into a prime (4681841569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1266603 + ... + 1270293.

It is an arithmetic number, because the mean of its divisors is an integer number (130525122).

Almost surely, 24681841568 is an apocalyptic number.

4681841568 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 4681841568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265205856).

4681841568 is an abundant number, since it is smaller than the sum of its proper divisors (7848570144).

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

4681841568 is a wasteful number, since it uses less digits than its factorization.

4681841568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3950 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 4681841568 is about 68423.9838653085. The cubic root of 4681841568 is about 1672.9086923554.

The spelling of 4681841568 in words is "four billion, six hundred eighty-one million, eight hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 181 219 292 362 438 543 584 724 876 1086 1168 1448 1752 2172 2336 2896 3504 3691 4344 5792 7008 7382 8688 11073 13213 14764 17376 22146 26426 29528 39639 44292 52852 59056 79278 88584 105704 118112 158556 177168 211408 269443 317112 354336 422816 538886 634224 668071 808329 1077772 1268448 1336142 1616658 2004213 2155544 2672284 3233316 4008426 4311088 5344568 6466632 8016852 8622176 10689136 12933264 16033704 21378272 25866528 32067408 48769183 64134816 97538366 146307549 195076732 292615098 390153464 585230196 780306928 1170460392 1560613856 2340920784 4681841568