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24002316000065 = 5133741613990473
BaseRepresentation
bin1010111010100011110011…
…00001001101101101000001
310010222121011200010012102002
411131101321201031231001
511121223220344000230
6123014302312033345
75025052523505554
oct535217141155501
9103877150105362
1024002316000065
117714363708847
122837987092855
131051540b671c0
145cda0add269b
152b954e323545
hex15d47984db41

24002316000065 has 64 divisors (see below), whose sum is σ = 33168692192832. Its totient is φ = 16549285478400.

The previous prime is 24002316000041. The next prime is 24002316000073. The reversal of 24002316000065 is 56000061320042.

It can be written as a sum of positive squares in 32 ways, for example, as 23833025720464 + 169290279601 = 4881908^2 + 411449^2 .

It is not a de Polignac number, because 24002316000065 - 224 = 24002299222849 is a prime.

It is a super-2 number, since 2×240023160000652 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4019669 + ... + 8010141.

It is an arithmetic number, because the mean of its divisors is an integer number (518260815513).

Almost surely, 224002316000065 is an apocalyptic number.

It is an amenable number.

24002316000065 is a deficient number, since it is larger than the sum of its proper divisors (9166376192767).

24002316000065 is a wasteful number, since it uses less digits than its factorization.

24002316000065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990630.

The product of its (nonzero) digits is 8640, while the sum is 29.

The spelling of 24002316000065 in words is "twenty-four trillion, two billion, three hundred sixteen million, sixty-five", and thus it is an aban number.

Divisors: 1 5 13 37 41 61 65 185 205 305 481 533 793 1517 2257 2405 2501 2665 3965 7585 11285 12505 19721 29341 32513 92537 98605 146705 162565 462685 1202981 3990473 6014905 19952365 51876149 147647501 163609393 243418853 259380745 738237505 818046965 1217094265 1919417513 2126922109 3164445089 6053547541 9006497561 9597087565 9980172973 10634610545 15822225445 30267737705 45032487805 49900864865 78696118033 117084468293 129742248649 369266400001 393480590165 585422341465 648711243245 1846332000005 4800463200013 24002316000065