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382758968969 = 132341831133329
BaseRepresentation
bin1011001000111100011…
…01100101111010001001
31100120222010112020122222
411210132031211322021
522232342244001334
6451500445023425
736440060361266
oct5443615457211
91316863466588
10382758968969
11138366506623
1262221254b75
132a12b725a30
14147504a026d
159e52eaed2e
hex591e365e89

382758968969 has 64 divisors (see below), whose sum is σ = 450004584960. Its totient is φ = 322759557120.

The previous prime is 382758968957. The next prime is 382758968971. The reversal of 382758968969 is 969869857283.

It is a de Polignac number, because none of the positive numbers 2k-382758968969 is a prime.

It is a super-2 number, since 2×3827589689692 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 382758968893 and 382758968902.

It is not an unprimeable number, because it can be changed into a prime (382758968269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114975497 + ... + 114978825.

It is an arithmetic number, because the mean of its divisors is an integer number (7031321640).

Almost surely, 2382758968969 is an apocalyptic number.

It is an amenable number.

382758968969 is a deficient number, since it is larger than the sum of its proper divisors (67245615991).

382758968969 is a wasteful number, since it uses less digits than its factorization.

382758968969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602.

The product of its digits is 2821754880, while the sum is 80.

The spelling of 382758968969 in words is "three hundred eighty-two billion, seven hundred fifty-eight million, nine hundred sixty-eight thousand, nine hundred sixty-nine".

Divisors: 1 13 23 41 83 113 299 533 943 1079 1469 1909 2599 3329 3403 4633 9379 12259 24817 33787 43277 44239 60229 76567 78269 106559 121927 136489 215717 276307 376177 384539 995371 1017497 1385267 1774357 2804321 3139247 3591991 4890301 4999007 6355061 8652071 8844397 11328587 15423257 31222691 40810211 82615793 112476923 114977161 147271631 200502341 260557501 354734911 405894983 718121893 1280130331 3387247513 4611553843 9335584609 16641694303 29442997613 382758968969