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48395252736 = 21034583469
BaseRepresentation
bin101101000100100101…
…001111010000000000
311121220202012120020000
4231010211033100000
51243103141041421
634122114120000
73332164601205
oct550445172000
9147822176200
1048395252736
1119584949746
129467580000
13474346422c
1424b1561cac
1513d3a59226
hexb4494f400

48395252736 has 110 divisors (see below), whose sum is σ = 144517933890. Its totient is φ = 16131723264.

The previous prime is 48395252713. The next prime is 48395252743. The reversal of 48395252736 is 63725259384.

48395252736 is a `hidden beast` number, since 4 + 8 + 39 + 52 + 527 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38919398400 + 9475854336 = 197280^2 + 97344^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 208791 + ... + 374678.

It is an arithmetic number, because the mean of its divisors is an integer number (1313799399).

Almost surely, 248395252736 is an apocalyptic number.

It is an amenable number.

48395252736 is an abundant number, since it is smaller than the sum of its proper divisors (96122681154).

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

48395252736 is an equidigital number, since it uses as much as digits as its factorization.

48395252736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583501 (or 583474 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 48395252736 in words is "forty-eight billion, three hundred ninety-five million, two hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 583469 1166938 1750407 2333876 3500814 4667752 5251221 7001628 9335504 10502442 14003256 15753663 18671008 21004884 28006512 31507326 37342016 42009768 47260989 56013024 63014652 74684032 84019536 94521978 112026048 126029304 149368064 168039072 189043956 224052096 252058608 298736128 336078144 378087912 448104192 504117216 597472256 672156288 756175824 896208384 1008234432 1344312576 1512351648 1792416768 2016468864 2688625152 3024703296 4032937728 5377250304 6049406592 8065875456 12098813184 16131750912 24197626368 48395252736