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50842227200 = 295219932
BaseRepresentation
bin101111010110011011…
…101101001000000000
311212020021121202010212
4233112123231020000
51313111102232300
635205005213252
73446626541432
oct572633551000
9155207552125
1050842227200
111a620125896
129a2ab61228
134a433b910b
14266452c652
1514c87ad935
hexbd66ed200

50842227200 has 90 divisors (see below), whose sum is σ = 126028825659. Its totient is φ = 20326686720.

The previous prime is 50842227187. The next prime is 50842227203. The reversal of 50842227200 is 272224805.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 30432104704 + 20410122496 = 174448^2 + 142864^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=159440.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50842227203) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 25509404 + ... + 25511396.

Almost surely, 250842227200 is an apocalyptic number.

50842227200 is a gapful number since it is divisible by the number (50) 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 50842227200

50842227200 is an abundant number, since it is smaller than the sum of its proper divisors (75186598459).

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

50842227200 is an frugal number, since it uses more digits than its factorization.

50842227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

Multiplying 50842227200 by its sum of digits (32), we get a square (1626951270400 = 12755202).

50842227200 divided by its sum of digits (32) gives a square (1588819600 = 398602).

The spelling of 50842227200 in words is "fifty billion, eight hundred forty-two million, two hundred twenty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 1993 2560 3200 3986 6400 7972 9965 12800 15944 19930 31888 39860 49825 63776 79720 99650 127552 159440 199300 255104 318880 398600 510208 637760 797200 1020416 1275520 1594400 2551040 3188800 3972049 5102080 6377600 7944098 12755200 15888196 19860245 25510400 31776392 39720490 63552784 79440980 99301225 127105568 158881960 198602450 254211136 317763920 397204900 508422272 635527840 794409800 1016844544 1271055680 1588819600 2033689088 2542111360 3177639200 5084222720 6355278400 10168445440 12710556800 25421113600 50842227200