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49931209728 = 210341722083
BaseRepresentation
bin101110100000001000…
…011100110000000000
311202212210101021010000
4232200020130300000
51304224342202403
634534343040000
73415225165011
oct564010346000
9152783337100
1049931209728
111a1a2958994
129815a40000
134929735a1a
1425b9545008
1514738077a3
hexba021cc00

49931209728 has 330 divisors, whose sum is σ = 158467170356. Its totient is φ = 15657172992.

The previous prime is 49931209687. The next prime is 49931209729. The reversal of 49931209728 is 82790213994.

49931209728 is a `hidden beast` number, since 499 + 3 + 120 + 9 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (49931209729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23969775 + ... + 23971857.

Almost surely, 249931209728 is an apocalyptic number.

49931209728 is a gapful number since it is divisible by the number (48) 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 49931209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79233585178).

49931209728 is an abundant number, since it is smaller than the sum of its proper divisors (108535960628).

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

49931209728 is a wasteful number, since it uses less digits than its factorization.

49931209728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 49931209728 in words is "forty-nine billion, nine hundred thirty-one million, two hundred nine thousand, seven hundred twenty-eight".