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49209368064 = 293271118219
BaseRepresentation
bin101101110101000110…
…110101111000000000
311201000111002220111120
4231311012311320000
51301240044234224
634334555312240
73361311504243
oct556506657000
9151014086446
1049209368064
111996245062a
12965414b680
134843019b8c
14254b72325a
15143026d779
hexb751b5e00

49209368064 has 80 divisors (see below), whose sum is σ = 131581697280. Its totient is φ = 16342456320.

The previous prime is 49209368063. The next prime is 49209368071. The reversal of 49209368064 is 46086390294.

It is a junction number, because it is equal to n+sod(n) for n = 49209367998 and 49209368016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49209368063) 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 7 ways as a sum of consecutive naturals, for example, 357147 + ... + 475365.

It is an arithmetic number, because the mean of its divisors is an integer number (1644771216).

Almost surely, 249209368064 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 49209368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65790848640).

49209368064 is an abundant number, since it is smaller than the sum of its proper divisors (82372329216).

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

49209368064 is a wasteful number, since it uses less digits than its factorization.

49209368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118511 (or 118495 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 49209368064 in words is "forty-nine billion, two hundred nine million, three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 512 542 768 813 1084 1536 1626 2168 3252 4336 6504 8672 13008 17344 26016 34688 52032 69376 104064 118219 138752 208128 236438 354657 416256 472876 709314 945752 1418628 1891504 2837256 3783008 5674512 7566016 11349024 15132032 22698048 30264064 32037349 45396096 60528128 64074698 90792192 96112047 128149396 181584384 192224094 256298792 384448188 512597584 768896376 1025195168 1537792752 2050390336 3075585504 4100780672 6151171008 8201561344 12302342016 16403122688 24604684032 49209368064