Search a number
-
+
5678906273152 = 27715794142901
BaseRepresentation
bin101001010100011100100…
…1100001110110110000000
3202002220020202001011201121
41102220321030032312000
51221020400001220102
620024504210042024
71124200406603560
oct122507114166600
922086222034647
105678906273152
11189a4575a6a52
1277873a279314
13322698391018
14158c0941ada0
159cac4a15b37
hex52a3930ed80

5678906273152 has 128 divisors (see below), whose sum is σ = 13026138626880. Its totient is φ = 2415688704000.

The previous prime is 5678906273137. The next prime is 5678906273167. The reversal of 5678906273152 is 2513726098765.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5678906273137) and next prime (5678906273167).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132350902 + ... + 132393802.

Almost surely, 25678906273152 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 5678906273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6513069313440).

5678906273152 is an abundant number, since it is smaller than the sum of its proper divisors (7347232353728).

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

5678906273152 is a wasteful number, since it uses less digits than its factorization.

5678906273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44020 (or 44008 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 5678906273152 in words is "five trillion, six hundred seventy-eight billion, nine hundred six million, two hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 314 448 628 896 941 1099 1256 1882 2198 2512 3764 4396 5024 6587 7528 8792 10048 13174 15056 17584 20096 26348 30112 35168 42901 52696 60224 70336 85802 105392 120448 140672 147737 171604 210784 295474 300307 343208 421568 590948 600614 686416 843136 1034159 1181896 1201228 1372832 2068318 2363792 2402456 2745664 4136636 4727584 4804912 5491328 6735457 8273272 9455168 9609824 13470914 16546544 18910336 19219648 26941828 33093088 38439296 40369841 47148199 53883656 66186176 80739682 94296398 107767312 132372352 161479364 188592796 215534624 282588887 322958728 377185592 431069248 565177774 645917456 754371184 862138496 1130355548 1291834912 1508742368 2260711096 2583669824 3017484736 4521422192 5167339648 6034969472 6338065037 9042844384 12676130074 18085688768 25352260148 36171377536 44366455259 50704520296 88732910518 101409040592 177465821036 202818081184 354931642072 405636162368 709863284144 811272324736 1419726568288 2839453136576 5678906273152