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868312344424608 = 25324370115660887
BaseRepresentation
bin1100010101101110011011100…
…0110101111111000010100000
311012212102211221020102220221200
43011123212320311333002200
51402302412140133041413
612314425103441321200
7350616332232545406
oct30533467065770240
94185384836386850
10868312344424608
11231742219631836
12814788bb336200
132b36766c684aa5
141145c782643476
156a5bbe403b573
hex315b9b8d7f0a0

868312344424608 has 72 divisors (see below), whose sum is σ = 2526687955759968. Its totient is φ = 282706344692352.

The previous prime is 868312344424607. The next prime is 868312344424687. The reversal of 868312344424608 is 806424443213868.

868312344424608 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 12 + 3 + 4 + 4 + 4 + 2 + 4 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (868312344424607) 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, 35057818060 + ... + 35057842827.

It is an arithmetic number, because the mean of its divisors is an integer number (35092888274444).

Almost surely, 2868312344424608 is an apocalyptic number.

It is an amenable number.

868312344424608 is an abundant number, since it is smaller than the sum of its proper divisors (1658375611335360).

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

868312344424608 is a wasteful number, since it uses less digits than its factorization.

868312344424608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70115660946 (or 70115660935 counting only the distinct ones).

The product of its (nonzero) digits is 169869312, while the sum is 63.

The spelling of 868312344424608 in words is "eight hundred sixty-eight trillion, three hundred twelve billion, three hundred forty-four million, four hundred twenty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 70115660887 140231321774 210346982661 280462643548 420693965322 560925287096 631040947983 841387930644 1121850574192 1262081895966 1682775861288 2243701148384 2524163791932 3014973418141 3365551722576 5048327583864 6029946836282 6731103445152 9044920254423 10096655167728 12059893672564 18089840508846 20193310335456 24119787345128 27134760763269 36179681017692 48239574690256 54269521526538 72359362035384 96479149380512 108539043053076 144718724070768 217078086106152 289437448141536 434156172212304 868312344424608