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50050010400 = 25352131604167
BaseRepresentation
bin101110100111001101…
…101000110100100000
311210012001220221222220
4232213031220310200
51310000300313100
634554225231040
73421200032445
oct564715506440
9153161827886
1050050010400
111a253a20665
129849792480
13494822ca90
1425cb22b9cc
15147de72aa0
hexba7368d20

50050010400 has 144 divisors (see below), whose sum is σ = 175444645824. Its totient is φ = 12319994880.

The previous prime is 50050010389. The next prime is 50050010419. The reversal of 50050010400 is 401005005.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 50050010400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770884 + ... + 833283.

It is an arithmetic number, because the mean of its divisors is an integer number (1218365596).

Almost surely, 250050010400 is an apocalyptic number.

50050010400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50050010400 is an abundant number, since it is smaller than the sum of its proper divisors (125394635424).

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

50050010400 is a wasteful number, since it uses less digits than its factorization.

50050010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604203 (or 1604190 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

Adding to 50050010400 its reverse (401005005), we get a palindrome (50451015405).

The spelling of 50050010400 in words is "fifty billion, fifty million, ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 1604167 3208334 4812501 6416668 8020835 9625002 12833336 16041670 19250004 20854171 24062505 25666672 32083340 38500008 40104175 41708342 48125010 51333344 62562513 64166680 77000016 80208350 83416684 96250020 104270855 120312525 125125026 128333360 154000032 160416700 166833368 192500040 208541710 240625050 250250052 256666720 312812565 320833400 333666736 385000080 417083420 481250100 500500104 521354275 625625130 641666800 667333472 770000160 834166840 962500200 1001000208 1042708550 1251250260 1283333600 1564062825 1668333680 1925000400 2002000416 2085417100 2502500520 3128125650 3336667360 3850000800 4170834200 5005001040 6256251300 8341668400 10010002080 12512502600 16683336800 25025005200 50050010400