Search a number
-
+
483777138100 = 225267457157999
BaseRepresentation
bin1110000101000110101…
…11010100110110110100
31201020201021000221101111
413002203113110312310
530411233421404400
61010124423004404
746644306553024
oct7024327246664
91636637027344
10483777138100
11177194645213
1279913b99704
133680a1645c9
14195b483ba84
15c8b67b93ba
hex70a35d4db4

483777138100 has 72 divisors (see below), whose sum is σ = 1067803184000. Its totient is φ = 190204312320.

The previous prime is 483777138083. The next prime is 483777138133. The reversal of 483777138100 is 1831777384.

It is a super-2 number, since 2×4837771381002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2982901 + ... + 3140899.

Almost surely, 2483777138100 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 483777138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533901592000).

483777138100 is an abundant number, since it is smaller than the sum of its proper divisors (584026045900).

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

483777138100 is a wasteful number, since it uses less digits than its factorization.

483777138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158537 (or 158530 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 49.

The spelling of 483777138100 in words is "four hundred eighty-three billion, seven hundred seventy-seven million, one hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 457 670 914 1340 1675 1828 2285 3350 4570 6700 9140 11425 22850 30619 45700 61238 122476 153095 157999 306190 315998 612380 631996 765475 789995 1530950 1579990 3061900 3159980 3949975 7899950 10585933 15799900 21171866 42343732 52929665 72205543 105859330 144411086 211718660 264648325 288822172 361027715 529296650 722055430 1058593300 1444110860 1805138575 3610277150 4837771381 7220554300 9675542762 19351085524 24188856905 48377713810 96755427620 120944284525 241888569050 483777138100