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48339294318 = 2337375716053
BaseRepresentation
bin101101000001001111…
…110001100001101110
311121202211220120201000
4231001033301201232
51242444324404233
634112354501130
73330615136140
oct550117614156
9147684816630
1048339294318
11195562a9317
1294508947a6
1347349a0a43
1424a7d56c90
1513cdba3d13
hexb413f186e

48339294318 has 128 divisors (see below), whose sum is σ = 126326154240. Its totient is φ = 13412200320.

The previous prime is 48339294251. The next prime is 48339294323. The reversal of 48339294318 is 81349293384.

48339294318 is a `hidden beast` number, since 4 + 8 + 3 + 39 + 294 + 318 = 666.

48339294318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7982980 + ... + 7989032.

It is an arithmetic number, because the mean of its divisors is an integer number (986923080).

Almost surely, 248339294318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48339294318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63163077120).

48339294318 is an abundant number, since it is smaller than the sum of its proper divisors (77986859922).

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

48339294318 is a wasteful number, since it uses less digits than its factorization.

48339294318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679 (or 6673 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 48339294318 in words is "forty-eight billion, three hundred thirty-nine million, two hundred ninety-four thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 571 666 777 999 1142 1554 1713 1998 2331 3426 3997 4662 5139 6053 6993 7994 10278 11991 12106 13986 15417 18159 21127 23982 30834 35973 36318 42254 42371 54477 63381 71946 84742 107919 108954 126762 127113 147889 163431 190143 215838 223961 254226 295778 326862 380286 381339 443667 447922 570429 671883 762678 887334 1140858 1144017 1331001 1343766 1567727 2015649 2288034 2662002 3135454 3456263 3993003 4031298 4703181 6046947 6912526 7986006 9406362 10368789 12093894 14109543 20737578 24193841 28219086 31106367 42328629 48387682 62212734 72581523 84657258 93319101 127881731 145163046 186638202 217744569 255763462 383645193 435489138 653233707 767290386 895172117 1150935579 1306467414 1790344234 2301871158 2685516351 3452806737 5371032702 6905613474 8056549053 16113098106 24169647159 48339294318