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48147591960 = 233251364715901
BaseRepresentation
bin101100110101110100…
…011111001100011000
311121021111012002111200
4230311310133030120
51242101240420320
634041345554200
73323066531136
oct546564371430
9147244162450
1048147591960
1119468073516
1293b8645960
1347040604b0
14248a6d4756
1513bbe38290
hexb35d1f318

48147591960 has 192 divisors, whose sum is σ = 168787644480. Its totient is φ = 11832652800.

The previous prime is 48147591959. The next prime is 48147591967. The reversal of 48147591960 is 6919574184.

48147591960 is a `hidden beast` number, since 4 + 8 + 1 + 47 + 591 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×481475919602 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48147591897 and 48147591906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48147591967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3020010 + ... + 3035910.

It is an arithmetic number, because the mean of its divisors is an integer number (879102315).

Almost surely, 248147591960 is an apocalyptic number.

48147591960 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 48147591960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84393822240).

48147591960 is an abundant number, since it is smaller than the sum of its proper divisors (120640052520).

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

48147591960 is a wasteful number, since it uses less digits than its factorization.

48147591960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16578 (or 16571 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 48147591960 in words is "forty-eight billion, one hundred forty-seven million, five hundred ninety-one thousand, nine hundred sixty".