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48449688320 = 2851113725117
BaseRepresentation
bin101101000111110100…
…111001001100000000
311122001112122011210202
4231013310321030000
51243211110011240
634131340544332
73333425361425
oct550764711400
9148045564722
1048449688320
1119602649a30
1294818520a8
134751813537
1424b8891d4c
1513d870d315
hexb47d39300

48449688320 has 144 divisors (see below), whose sum is σ = 127531520928. Its totient is φ = 17488773120.

The previous prime is 48449688311. The next prime is 48449688323. The reversal of 48449688320 is 2388694484.

It is not an unprimeable number, because it can be changed into a prime (48449688323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1916402 + ... + 1941518.

It is an arithmetic number, because the mean of its divisors is an integer number (885635562).

Almost surely, 248449688320 is an apocalyptic number.

48449688320 is a gapful number since it is divisible by the number (40) 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 48449688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63765760464).

48449688320 is an abundant number, since it is smaller than the sum of its proper divisors (79081832608).

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

48449688320 is a wasteful number, since it uses less digits than its factorization.

48449688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25286 (or 25272 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 56.

The spelling of 48449688320 in words is "forty-eight billion, four hundred forty-nine million, six hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 137 160 176 220 256 274 320 352 440 548 640 685 704 880 1096 1280 1370 1408 1507 1760 2192 2740 2816 3014 3520 4384 5480 6028 7040 7535 8768 10960 12056 14080 15070 17536 21920 24112 25117 30140 35072 43840 48224 50234 60280 87680 96448 100468 120560 125585 175360 192896 200936 241120 251170 276287 385792 401872 482240 502340 552574 803744 964480 1004680 1105148 1381435 1607488 1928960 2009360 2210296 2762870 3214976 3441029 4018720 4420592 5525740 6429952 6882058 8037440 8841184 11051480 13764116 16074880 17205145 17682368 22102960 27528232 32149760 34410290 35364736 37851319 44205920 55056464 68820580 70729472 75702638 88411840 110112928 137641160 151405276 176823680 189256595 220225856 275282320 302810552 353647360 378513190 440451712 550564640 605621104 757026380 880903424 1101129280 1211242208 1514052760 2202258560 2422484416 3028105520 4404517120 4844968832 6056211040 9689937664 12112422080 24224844160 48449688320