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49676794128 = 243313192107229
BaseRepresentation
bin101110010000111101…
…111011100100010000
311202020001122121112000
4232100331323210100
51303214224403003
634453214034000
73406015532403
oct562075734420
9152201577460
1049676794128
111a082289765
1297647a8900
1348b8b08550
142593839d3a
15145b3001a3
hexb90f7b910

49676794128 has 480 divisors, whose sum is σ = 164295734400. Its totient is φ = 14282707968.

The previous prime is 49676794121. The next prime is 49676794151. The reversal of 49676794128 is 82149767694.

49676794128 is a `hidden beast` number, since 496 + 76 + 79 + 4 + 1 + 2 + 8 = 666.

49676794128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49676794121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216929118 + ... + 216929346.

It is an arithmetic number, because the mean of its divisors is an integer number (342282780).

Almost surely, 249676794128 is an apocalyptic number.

49676794128 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 49676794128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82147867200).

49676794128 is an abundant number, since it is smaller than the sum of its proper divisors (114618940272).

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

49676794128 is a wasteful number, since it uses less digits than its factorization.

49676794128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 373 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 49676794128 in words is "forty-nine billion, six hundred seventy-six million, seven hundred ninety-four thousand, one hundred twenty-eight".