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382934605014 = 2321331457115513
BaseRepresentation
bin1011001001010001010…
…11100101110011010110
31100121102101000111000200
411210220223211303112
522233222224330024
6451530121321330
736444322302603
oct5445053456326
91317371014020
10382934605014
11138446668585
1262270036246
132a158c2c4a0
141476993d6aa
159e636052c9
hex5928ae5cd6

382934605014 has 96 divisors (see below), whose sum is σ = 924363358464. Its totient is φ = 113774699520.

The previous prime is 382934605007. The next prime is 382934605099. The reversal of 382934605014 is 410506439283.

382934605014 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 34 + 605 + 0 + 1 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3257322 + ... + 3372834.

It is an arithmetic number, because the mean of its divisors is an integer number (9628784984).

Almost surely, 2382934605014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382934605014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462181679232).

382934605014 is an abundant number, since it is smaller than the sum of its proper divisors (541428753450).

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

382934605014 is a wasteful number, since it uses less digits than its factorization.

382934605014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116022 (or 116019 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 382934605014 in words is "three hundred eighty-two billion, nine hundred thirty-four million, six hundred five thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 457 558 806 914 1209 1371 2418 2742 3627 4113 5941 7254 8226 11882 14167 17823 28334 35646 42501 53469 85002 106938 115513 127503 184171 231026 255006 346539 368342 552513 693078 1039617 1105026 1501669 1657539 2079234 3003338 3315078 3580903 4505007 7161806 9010014 10742709 13515021 21485418 27030042 32228127 46551739 52789441 64456254 93103478 105578882 139655217 158368323 279310434 316736646 418965651 475104969 686262733 837931302 950209938 1372525466 1636472671 2058788199 3272945342 4117576398 4909418013 6176364597 9818836026 12352729194 14728254039 21274144723 29456508078 42548289446 63822434169 127644868338 191467302507 382934605014