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5814013832 = 23111943193419
BaseRepresentation
bin1010110101000101…
…01100111110001000
3120000012002111121122
411122202230332020
543401341420312
62400530254412
7264035205434
oct53242547610
916005074548
105814013832
11251394a710
121163127408
137186aa293
143d22379c4
1524064ab72
hex15a8acf88

5814013832 has 128 divisors (see below), whose sum is σ = 12906432000. Its totient is φ = 2426941440.

The previous prime is 5814013819. The next prime is 5814013861. The reversal of 5814013832 is 2383104185.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5814013792 and 5814013801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13875719 + ... + 13876137.

It is an arithmetic number, because the mean of its divisors is an integer number (100831500).

Almost surely, 25814013832 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 5814013832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453216000).

5814013832 is an abundant number, since it is smaller than the sum of its proper divisors (7092418168).

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

5814013832 is a wasteful number, since it uses less digits than its factorization.

5814013832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 5814013832 is about 76249.6808649059. The cubic root of 5814013832 is about 1798.1476656570.

The spelling of 5814013832 in words is "five billion, eight hundred fourteen million, thirteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 43 44 76 86 88 152 172 193 209 344 386 418 419 473 772 817 836 838 946 1544 1634 1672 1676 1892 2123 3268 3352 3667 3784 4246 4609 6536 7334 7961 8299 8492 8987 9218 14668 15922 16598 16984 17974 18017 18436 29336 31844 33196 35948 36034 36872 40337 63688 66392 71896 72068 80674 80867 87571 91289 144136 157681 161348 161734 175142 182578 198187 315362 322696 323468 342323 350284 365156 396374 630724 646936 684646 700568 730312 792748 889537 1261448 1369292 1536473 1585496 1734491 1779074 2738584 3072946 3468982 3477281 3558148 3765553 6145892 6937964 6954562 7116296 7531106 12291784 13875928 13909124 15062212 16901203 27818248 30124424 33802406 38250091 66068339 67604812 76500182 132136678 135209624 153000364 264273356 306000728 528546712 726751729 1453503458 2907006916 5814013832