Search a number
-
+
210204247104 = 263217261127163
BaseRepresentation
bin1100001111000100100…
…1100100010001000000
3202002120111101010222100
43003301021210101000
511420444241401404
6240322210310400
721121025422365
oct3036111442100
9662514333870
10210204247104
11811688aa075
12348a4b88400
1316a8c41cb07
14a26141046c
155704229d39
hex30f1264440

210204247104 has 504 divisors, whose sum is σ = 659676412928. Its totient is φ = 63959777280.

The previous prime is 210204247103. The next prime is 210204247133. The reversal of 210204247104 is 401742402012.

210204247104 is a `hidden beast` number, since 210 + 20 + 424 + 7 + 1 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (210204247103) 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 71 ways as a sum of consecutive naturals, for example, 1289596527 + ... + 1289596689.

Almost surely, 2210204247104 is an apocalyptic number.

210204247104 is a gapful number since it is divisible by the number (24) 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 210204247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329838206464).

210204247104 is an abundant number, since it is smaller than the sum of its proper divisors (449472165824).

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

210204247104 is a wasteful number, since it uses less digits than its factorization.

210204247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 210204247104 its reverse (401742402012), we get a palindrome (611946649116).

The spelling of 210204247104 in words is "two hundred ten billion, two hundred four million, two hundred forty-seven thousand, one hundred four".