Search a number
-
+
200481449900160 = 273511132711934099
BaseRepresentation
bin101101100101011000111001…
…100110101111100010000000
3222021211211122221120001200010
4231211120321212233202000
5202234142002133301120
61550215523455424520
760141210136043352
oct5545307146574200
9867754587501603
10200481449900160
1158974783a23220
121a59a793b25140
1387b3420232600
1437714d53430d2
151829eb13a67e0
hexb656399af880

200481449900160 has 1536 divisors, whose sum is σ = 769665182976000. Its totient is φ = 43991197286400.

The previous prime is 200481449900063. The next prime is 200481449900161. The reversal of 200481449900160 is 61009944184002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (200481449900161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48909841791 + ... + 48909845889.

It is an arithmetic number, because the mean of its divisors is an integer number (501084103500).

Almost surely, 2200481449900160 is an apocalyptic number.

200481449900160 is a gapful number since it is divisible by the number (20) 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 200481449900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384832591488000).

200481449900160 is an abundant number, since it is smaller than the sum of its proper divisors (569183733075840).

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

200481449900160 is a wasteful number, since it uses less digits than its factorization.

200481449900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 200481449900160 in words is "two hundred trillion, four hundred eighty-one billion, four hundred forty-nine million, nine hundred thousand, one hundred sixty".