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48476196000 = 2532531936977
BaseRepresentation
bin101101001001011010…
…000000110010100000
311122010101111220111200
4231021122000302200
51243234401233000
634134125041200
73334166603331
oct551132006240
9148111456450
1048476196000
1119616604601
12948a6b6200
134757164a5b
1424bc1d2288
1513dabe7500
hexb49680ca0

48476196000 has 288 divisors, whose sum is σ = 172958215248. Its totient is φ = 12858163200.

The previous prime is 48476195981. The next prime is 48476196007. The reversal of 48476196000 is 69167484.

It can be written as a sum of positive squares in 8 ways, for example, as 667498896 + 47808697104 = 25836^2 + 218652^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (48476196007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6944512 + ... + 6951488.

Almost surely, 248476196000 is an apocalyptic number.

48476196000 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 48476196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86479107624).

48476196000 is an abundant number, since it is smaller than the sum of its proper divisors (124482019248).

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

48476196000 is a wasteful number, since it uses less digits than its factorization.

48476196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7201 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 48476196000 in words is "forty-eight billion, four hundred seventy-six million, one hundred ninety-six thousand".