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49884408360 = 23335234346703
BaseRepresentation
bin101110011101010101…
…111010101000101000
311202202112022111201000
4232131111322220220
51304130402031420
634525551555000
73414116321613
oct563525725050
9152675274630
1049884408360
111a1794a2376
12980222ba60
13491cb2a4c7
1425b324117a
15146e660690
hexb9d57aa28

49884408360 has 256 divisors, whose sum is σ = 177549926400. Its totient is φ = 12427962624.

The previous prime is 49884408349. The next prime is 49884408389. The reversal of 49884408360 is 6380448894.

49884408360 is a `hidden beast` number, since 49 + 88 + 440 + 83 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49884408297 and 49884408306.

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 63 ways as a sum of consecutive naturals, for example, 1044769 + ... + 1091471.

It is an arithmetic number, because the mean of its divisors is an integer number (693554400).

Almost surely, 249884408360 is an apocalyptic number.

49884408360 is a gapful number since it is divisible by the number (40) 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 49884408360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88774963200).

49884408360 is an abundant number, since it is smaller than the sum of its proper divisors (127665518040).

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

49884408360 is a wasteful number, since it uses less digits than its factorization.

49884408360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46789 (or 46779 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 49884408360 in words is "forty-nine billion, eight hundred eighty-four million, four hundred eight thousand, three hundred sixty".