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48114144680 = 2357224548033
BaseRepresentation
bin101100110011110100…
…111001010110101000
311121012011020210110112
4230303310321112220
51242014210112210
634034153033452
73322212324200
oct546364712650
9147164223415
1048114144680
11194501a9038
1293a93b5888
1346ca14c3c4
1424860a9400
1513b902cd05
hexb33d395a8

48114144680 has 48 divisors (see below), whose sum is σ = 125931414420. Its totient is φ = 16496277504.

The previous prime is 48114144679. The next prime is 48114144697. The reversal of 48114144680 is 8644141184.

It can be written as a sum of positive squares in 2 ways, for example, as 43042141156 + 5072003524 = 207466^2 + 71218^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12272057 + ... + 12275976.

Almost surely, 248114144680 is an apocalyptic number.

48114144680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48114144680 is an abundant number, since it is smaller than the sum of its proper divisors (77817269740).

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

48114144680 is a wasteful number, since it uses less digits than its factorization.

48114144680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24548058 (or 24548047 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The spelling of 48114144680 in words is "forty-eight billion, one hundred fourteen million, one hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 24548033 49096066 98192132 122740165 171836231 196384264 245480330 343672462 490960660 687344924 859181155 981921320 1202853617 1374689848 1718362310 2405707234 3436724620 4811414468 6014268085 6873449240 9622828936 12028536170 24057072340 48114144680