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50648719296 = 263770153759
BaseRepresentation
bin101111001010111001…
…100001111111000000
311211201210111112012110
4233022321201333000
51312212033004141
635133453455320
73442060003440
oct571271417700
9154653445173
1050648719296
111a5309774aa
1299961a1540
134a12295ab6
14264695a120
1514b67d7e16
hexbcae61fc0

50648719296 has 112 divisors (see below), whose sum is σ = 153373409280. Its totient is φ = 14450150400.

The previous prime is 50648719283. The next prime is 50648719309. The reversal of 50648719296 is 69291784605.

It is an interprime number because it is at equal distance from previous prime (50648719283) and next prime (50648719309).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 915265 + ... + 969023.

It is an arithmetic number, because the mean of its divisors is an integer number (1369405440).

Almost surely, 250648719296 is an apocalyptic number.

50648719296 is a gapful number since it is divisible by the number (56) 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 50648719296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76686704640).

50648719296 is an abundant number, since it is smaller than the sum of its proper divisors (102724689984).

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

50648719296 is a wasteful number, since it uses less digits than its factorization.

50648719296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54482 (or 54472 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 50648719296 in words is "fifty billion, six hundred forty-eight million, seven hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 701 1344 1402 2103 2804 4206 4907 5608 8412 9814 11216 14721 16824 19628 22432 29442 33648 39256 44864 53759 58884 67296 78512 107518 117768 134592 157024 161277 215036 235536 314048 322554 376313 430072 471072 645108 752626 860144 942144 1128939 1290216 1505252 1720288 2257878 2580432 3010504 3440576 4515756 5160864 6021008 9031512 10321728 12042016 18063024 24084032 36126048 37685059 72252096 75370118 113055177 150740236 226110354 263795413 301480472 452220708 527590826 602960944 791386239 904441416 1055181652 1205921888 1582772478 1808882832 2110363304 2411843776 3165544956 3617765664 4220726608 6331089912 7235531328 8441453216 12662179824 16882906432 25324359648 50648719296