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18399810249984 = 283367487134047
BaseRepresentation
bin1000010111100000010100…
…01001110110010100000000
32102011000010102010201121010
410023300022021312110000
54402430302410444414
6103044431154200520
73606225310410522
oct413601211662400
972130112121533
1018399810249984
115954352227659
12209200b283140
13a3612cc81ca7
144787ac699a12
1521d94bcbe959
hex10bc0a276500

18399810249984 has 144 divisors (see below), whose sum is σ = 49204958609408. Its totient is φ = 6103952971776.

The previous prime is 18399810249983. The next prime is 18399810250007. The reversal of 18399810249984 is 48994201899381.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18399810249983) 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, 137196849 + ... + 137330895.

Almost surely, 218399810249984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18399810249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24602479304704).

18399810249984 is an abundant number, since it is smaller than the sum of its proper divisors (30805148359424).

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

18399810249984 is a wasteful number, since it uses less digits than its factorization.

18399810249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134920 (or 134906 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 75.

The spelling of 18399810249984 in words is "eighteen trillion, three hundred ninety-nine billion, eight hundred ten million, two hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 367 384 487 734 768 974 1101 1461 1468 1948 2202 2922 2936 3896 4404 5844 5872 7792 8808 11688 11744 15584 17616 23376 23488 31168 35232 46752 46976 62336 70464 93504 93952 124672 134047 140928 178729 187008 268094 281856 357458 374016 402141 536187 536188 714916 804282 1072374 1072376 1429832 1608564 2144748 2144752 2859664 3217128 4289496 4289504 5719328 6434256 8578992 8579008 11438656 12868512 17157984 17158016 22877312 25737024 34315968 34316032 45754624 49195249 51474048 65280889 68631936 98390498 102948096 130561778 137263872 147585747 195842667 196780996 261123556 295171494 391685334 393561992 522247112 590342988 783370668 787123984 1044494224 1180685976 1566741336 1574247968 2088988448 2361371952 3133482672 3148495936 4177976896 4722743904 6266965344 6296991872 8355953792 9445487808 12533930688 12593983744 16711907584 18890975616 23958086263 25067861376 37781951232 47916172526 50135722752 71874258789 95832345052 143748517578 191664690104 287497035156 383329380208 574994070312 766658760416 1149988140624 1533317520832 2299976281248 3066635041664 4599952562496 6133270083328 9199905124992 18399810249984