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48516428412 = 223611321303
BaseRepresentation
bin101101001011110011…
…011111001001111100
311122020012012221000000
4231023303133021330
51243330201202122
634142123234300
73335165560104
oct551363371174
9148205187000
1048516428412
1119637293831
1294a0078990
1347625b030a
1424c36a6204
1513de4e30ac
hexb4bcdf27c

48516428412 has 126 divisors (see below), whose sum is σ = 128532454232. Its totient is φ = 16016724864.

The previous prime is 48516428407. The next prime is 48516428417. The reversal of 48516428412 is 21482461584.

48516428412 is a `hidden beast` number, since 4 + 8 + 516 + 42 + 84 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (48516428407) and next prime (48516428417).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48516428417) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37233753 + ... + 37235055.

Almost surely, 248516428412 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 48516428412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64266227116).

48516428412 is an abundant number, since it is smaller than the sum of its proper divisors (80016025820).

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

48516428412 is a wasteful number, since it uses less digits than its factorization.

48516428412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1421 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

Adding to 48516428412 its reverse (21482461584), we get a palindrome (69998889996).

The spelling of 48516428412 in words is "forty-eight billion, five hundred sixteen million, four hundred twenty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 729 972 1017 1303 1356 1458 2034 2606 2916 3051 3909 4068 5212 6102 7818 9153 11727 12204 12769 15636 18306 23454 25538 27459 35181 36612 38307 46908 51076 54918 70362 76614 82377 105543 109836 114921 140724 147239 153228 164754 211086 229842 294478 316629 329508 344763 422172 441717 459684 588956 633258 689526 883434 949887 1034289 1266516 1325151 1379052 1766868 1899774 2068578 2650302 3102867 3799548 3975453 4137156 5300604 6205734 7950906 9308601 11926359 12411468 15901812 16638007 18617202 23852718 33276014 35779077 37234404 47705436 49914021 66552028 71558154 99828042 107337231 143116308 149742063 199656084 214674462 299484126 429348924 449226189 598968252 898452378 1347678567 1796904756 2695357134 4043035701 5390714268 8086071402 12129107103 16172142804 24258214206 48516428412