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48834683244 = 2234433679551
BaseRepresentation
bin101101011110110001…
…100010000101101100
311200001101001221120000
4231132301202011230
51300003134330434
634233452424300
73346111646544
oct553661420554
9150041057500
1048834683244
111978a9a6356
12956a778090
1347b3500099
142513a6c324
15140c40ab99
hexb5ec6216c

48834683244 has 120 divisors (see below), whose sum is σ = 131002088448. Its totient is φ = 15854680800.

The previous prime is 48834683243. The next prime is 48834683269. The reversal of 48834683244 is 44238643884.

48834683244 is a `hidden beast` number, since 488 + 3 + 46 + 83 + 2 + 44 = 666.

48834683244 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 not an unprimeable number, because it can be changed into a prime (48834683243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5108269 + ... + 5117819.

Almost surely, 248834683244 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 48834683244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65501044224).

48834683244 is an abundant number, since it is smaller than the sum of its proper divisors (82167405204).

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

48834683244 is a wasteful number, since it uses less digits than its factorization.

48834683244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9977 (or 9966 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 48834683244 in words is "forty-eight billion, eight hundred thirty-four million, six hundred eighty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 367 387 516 734 774 1101 1161 1468 1548 2202 2322 3303 3483 4404 4644 6606 6966 9551 9909 13212 13932 15781 19102 19818 28653 29727 31562 38204 39636 47343 57306 59454 63124 85959 94686 114612 118908 142029 171918 189372 257877 284058 343836 410693 426087 515754 568116 773631 821386 852174 1031508 1232079 1278261 1547262 1642772 1704348 2464158 2556522 3094524 3505217 3696237 4928316 5113044 7010434 7392474 10515651 11088711 14020868 14784948 21031302 22177422 31546953 33266133 42062604 44354844 63093906 66532266 94640859 126187812 133064532 150724331 189281718 283922577 301448662 378563436 452172993 567845154 602897324 904345986 1135690308 1356518979 1808691972 2713037958 4069556937 5426075916 8139113874 12208670811 16278227748 24417341622 48834683244