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48513712806 = 23413109211339
BaseRepresentation
bin101101001011101001…
…001000001010100110
311122020000002221220000
4231023221020022212
51243324002302211
634141545122130
73335133516636
oct551351101246
9148200087800
1048513712806
11196357a9529
12949b189346
134761b6c250
1424c319a6c6
1513de158656
hexb4ba482a6

48513712806 has 80 divisors (see below), whose sum is σ = 118143286800. Its totient is φ = 14790278592.

The previous prime is 48513712783. The next prime is 48513712829. The reversal of 48513712806 is 60821731584.

48513712806 is a `hidden beast` number, since 4 + 8 + 513 + 7 + 128 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (48513712783) and next prime (48513712829).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123885 + ... + 335223.

It is an arithmetic number, because the mean of its divisors is an integer number (1476791085).

Almost surely, 248513712806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48513712806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59071643400).

48513712806 is an abundant number, since it is smaller than the sum of its proper divisors (69629573994).

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

48513712806 is a wasteful number, since it uses less digits than its factorization.

48513712806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211475 (or 211466 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 48513712806 in words is "forty-eight billion, five hundred thirteen million, seven hundred twelve thousand, eight hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 109 117 162 218 234 327 351 654 702 981 1053 1417 1962 2106 2834 2943 4251 5886 8502 8829 12753 17658 25506 38259 76518 114777 211339 229554 422678 634017 1268034 1902051 2747407 3804102 5494814 5706153 8242221 11412306 16484442 17118459 23035951 24726663 34236918 46071902 49453326 69107853 74179989 138215706 148359978 207323559 222539967 299467363 414647118 445079934 598934726 621970677 898402089 1243941354 1796804178 1865912031 2695206267 3731824062 5390412534 8085618801 16171237602 24256856403 48513712806