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13763682384 = 2431924611723
BaseRepresentation
bin11001101000110000…
…10010000001010000
31022112012210111202020
430310120102001100
5211142000314014
610153431251440
7665035240614
oct146430220120
938465714666
1013763682384
115923270321
122801519b80
1313b467a17a
14947d5d344
155585031a9
hex334612050

13763682384 has 120 divisors (see below), whose sum is σ = 37629279072. Its totient is φ = 4334480640.

The previous prime is 13763682377. The next prime is 13763682407. The reversal of 13763682384 is 48328636731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7987347 + ... + 7989069.

Almost surely, 213763682384 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 13763682384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814639536).

13763682384 is an abundant number, since it is smaller than the sum of its proper divisors (23865596688).

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

13763682384 is a wasteful number, since it uses less digits than its factorization.

13763682384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2208 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The spelling of 13763682384 in words is "thirteen billion, seven hundred sixty-three million, six hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 461 722 912 922 1083 1383 1444 1723 1844 2166 2766 2888 3446 3688 4332 5169 5532 5776 6892 7376 8664 8759 10338 11064 13784 17328 17518 20676 22128 26277 27568 32737 35036 41352 52554 65474 70072 82704 98211 105108 130948 140144 166421 196422 210216 261896 332842 392844 420432 499263 523792 622003 665684 785688 794303 998526 1244006 1331368 1571376 1588606 1866009 1997052 2382909 2488012 2662736 3177212 3732018 3994104 4765818 4976024 6354424 7464036 7988208 9531636 9952048 12708848 14928072 15091757 19063272 29856144 30183514 38126544 45275271 60367028 90550542 120734056 181101084 241468112 286743383 362202168 573486766 724404336 860230149 1146973532 1720460298 2293947064 3440920596 4587894128 6881841192 13763682384