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48342843360 = 25335723153139
BaseRepresentation
bin101101000001011101…
…010011111111100000
311121210002120220002000
4231001131103333200
51243001231441420
634113002524000
73330660250200
oct550135237740
9147702526060
1048342843360
1119558302809
129451b06600
134735644276
1424a85dc400
1513ce155690
hexb41753fe0

48342843360 has 1152 divisors, whose sum is σ = 208496332800. Its totient is φ = 10416107520.

The previous prime is 48342843359. The next prime is 48342843379. The reversal of 48342843360 is 6334824384.

48342843360 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 284 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 347790171 + ... + 347790309.

It is an arithmetic number, because the mean of its divisors is an integer number (180986400).

Almost surely, 248342843360 is an apocalyptic number.

48342843360 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 48342843360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104248166400).

48342843360 is an abundant number, since it is smaller than the sum of its proper divisors (160153489440).

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

48342843360 is a wasteful number, since it uses less digits than its factorization.

48342843360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 48342843360 in words is "forty-eight billion, three hundred forty-two million, eight hundred forty-three thousand, three hundred sixty".