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50105034400 = 255262631293
BaseRepresentation
bin101110101010011111…
…100010011010100000
311210022220110110201211
4232222133202122200
51310103342100100
635003512435504
73422435523331
oct565237423240
9153286413654
1050105034400
111a281a92a43
1298640a8b94
134956756b65
1425d4672288
151483be11ba
hexbaa7e26a0

50105034400 has 36 divisors (see below), whose sum is σ = 122318917182. Its totient is φ = 20042013440.

The previous prime is 50105034391. The next prime is 50105034407. The reversal of 50105034400 is 443050105.

50105034400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 37191893904 + 12913140496 = 192852^2 + 113636^2 .

It is not an unprimeable number, because it can be changed into a prime (50105034407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31314847 + ... + 31316446.

Almost surely, 250105034400 is an apocalyptic number.

50105034400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

50105034400 is an abundant number, since it is smaller than the sum of its proper divisors (72213882782).

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

50105034400 is a wasteful number, since it uses less digits than its factorization.

50105034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62631313 (or 62631300 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 50105034400 its reverse (443050105), we get a palindrome (50548084505).

The spelling of 50105034400 in words is "fifty billion, one hundred five million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 62631293 125262586 250525172 313156465 501050344 626312930 1002100688 1252625860 1565782325 2004201376 2505251720 3131564650 5010503440 6263129300 10021006880 12526258600 25052517200 50105034400