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49271138784 = 25367535693
BaseRepresentation
bin101101111000110010…
…011110100111100000
311201011210100012000000
4231320302132213200
51301401402420114
634345043300000
73362661524640
oct557062364740
9151153305000
1049271138784
111999430090a
12967097a600
134852a66aba
142555a02520
1514358c0e09
hexb78c9e9e0

49271138784 has 336 divisors, whose sum is σ = 169379919072. Its totient is φ = 13809429504.

The previous prime is 49271138767. The next prime is 49271138843. The reversal of 49271138784 is 48783117294.

49271138784 is a `hidden beast` number, since 492 + 71 + 1 + 3 + 8 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49271138784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8651842 + ... + 8657534.

It is an arithmetic number, because the mean of its divisors is an integer number (504106902).

Almost surely, 249271138784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49271138784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84689959536).

49271138784 is an abundant number, since it is smaller than the sum of its proper divisors (120108780288).

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

49271138784 is an equidigital number, since it uses as much as digits as its factorization.

49271138784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5758 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 49271138784 in words is "forty-nine billion, two hundred seventy-one million, one hundred thirty-eight thousand, seven hundred eighty-four".