Search a number
-
+
204501473344 = 2673174431237
BaseRepresentation
bin1011111001110100111…
…1001101100001000000
3201112212001121020001101
42332131033031201000
511322304334121334
6233540252144144
720526510562000
oct2763517154100
9645761536041
10204501473344
1179801828803
1233773168054
1316390ac047c
149c7dc92000
1554bd754214
hex2f9d3cd840

204501473344 has 224 divisors, whose sum is σ = 502620076800. Its totient is φ = 82235252736.

The previous prime is 204501473329. The next prime is 204501473357. The reversal of 204501473344 is 443374105402.

204501473344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 165319894 + ... + 165321130.

Almost surely, 2204501473344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204501473344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251310038400).

204501473344 is an abundant number, since it is smaller than the sum of its proper divisors (298118603456).

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

204501473344 is a wasteful number, since it uses less digits than its factorization.

204501473344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

Adding to 204501473344 its reverse (443374105402), we get a palindrome (647875578746).

The spelling of 204501473344 in words is "two hundred four billion, five hundred one million, four hundred seventy-three thousand, three hundred forty-four".