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49736566900 = 2252497365669
BaseRepresentation
bin101110010100100001…
…111100100001110100
311202101020010101100101
4232110201330201310
51303330030120100
634503151123444
73410342562136
oct562441744164
9152336111311
1049736566900
111a102aa4949
129780813584
1348c8305c57
14259b759056
1514616aa86a
hexb9487c874

49736566900 has 18 divisors (see below), whose sum is σ = 107928350390. Its totient is φ = 19894626720.

The previous prime is 49736566849. The next prime is 49736566907. The reversal of 49736566900 is 966563794.

It can be written as a sum of positive squares in 3 ways, for example, as 5983641316 + 43752925584 = 77354^2 + 209172^2 .

It is a super-2 number, since 2×497365669002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49736566907) 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 5 ways as a sum of consecutive naturals, for example, 248682735 + ... + 248682934.

Almost surely, 249736566900 is an apocalyptic number.

It is an amenable number.

49736566900 is an abundant number, since it is smaller than the sum of its proper divisors (58191783490).

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

49736566900 is a wasteful number, since it uses less digits than its factorization.

49736566900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497365683 (or 497365676 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 55.

The spelling of 49736566900 in words is "forty-nine billion, seven hundred thirty-six million, five hundred sixty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 497365669 994731338 1989462676 2486828345 4973656690 9947313380 12434141725 24868283450 49736566900