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48821017248 = 253517369319
BaseRepresentation
bin101101011101111101…
…011001101010100000
311200000102100122100000
4231131331121222200
51244441140022443
634232243500000
73345554541153
oct553575315240
9150012318300
1048821017248
1119783211943
129566087600
1347b07269b3
142511d11c9a
15140b10b8d3
hexb5df59aa0

48821017248 has 144 divisors (see below), whose sum is σ = 152446432320. Its totient is φ = 15316356096.

The previous prime is 48821017181. The next prime is 48821017291. The reversal of 48821017248 is 84271012884.

It is a tau number, because it is divible by the number of its divisors (144).

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, 52468 + ... + 316851.

It is an arithmetic number, because the mean of its divisors is an integer number (1058655780).

Almost surely, 248821017248 is an apocalyptic number.

48821017248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48821017248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76223216160).

48821017248 is an abundant number, since it is smaller than the sum of its proper divisors (103625415072).

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

48821017248 is a wasteful number, since it uses less digits than its factorization.

48821017248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369361 (or 369341 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 48821017248 in words is "forty-eight billion, eight hundred twenty-one million, seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 243 272 288 306 324 408 432 459 486 544 612 648 816 864 918 972 1224 1296 1377 1632 1836 1944 2448 2592 2754 3672 3888 4131 4896 5508 7344 7776 8262 11016 14688 16524 22032 33048 44064 66096 132192 369319 738638 1107957 1477276 2215914 2954552 3323871 4431828 5909104 6278423 6647742 8863656 9971613 11818208 12556846 13295484 17727312 18835269 19943226 25113692 26590968 29914839 35454624 37670538 39886452 50227384 53181936 56505807 59829678 75341076 79772904 89744517 100454768 106363872 113011614 119659356 150682152 159545808 169517421 179489034 200909536 226023228 239318712 301364304 319091616 339034842 358978068 452046456 478637424 508552263 602728608 678069684 717956136 904092912 957274848 1017104526 1356139368 1435912272 1525656789 1808185824 2034209052 2712278736 2871824544 3051313578 4068418104 5424557472 6102627156 8136836208 12205254312 16273672416 24410508624 48821017248