Search a number
-
+
48476556000 = 25355353941
BaseRepresentation
bin101101001001011011…
…011000101011100000
311122010102012012100000
4231021123120223200
51243234444243000
634134140500000
73334202633025
oct551133305340
9148112165300
1048476556000
1119616830024
12948a84a600
13475725c882
1424bc28754c
1513dac69000
hexb496d8ae0

48476556000 has 576 divisors, whose sum is σ = 181974776256. Its totient is φ = 12669696000.

The previous prime is 48476555927. The next prime is 48476556017. The reversal of 48476556000 is 65567484.

48476556000 is a `hidden beast` number, since 4 + 84 + 7 + 6 + 5 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×484765560002 (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51515530 + ... + 51516470.

It is an arithmetic number, because the mean of its divisors is an integer number (315928431).

Almost surely, 248476556000 is an apocalyptic number.

48476556000 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 48476556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90987388128).

48476556000 is an abundant number, since it is smaller than the sum of its proper divisors (133498220256).

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

48476556000 is an equidigital number, since it uses as much as digits as its factorization.

48476556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 48476556000 in words is "forty-eight billion, four hundred seventy-six million, five hundred fifty-six thousand".