Search a number
-
+
6418049904 = 243572310253
BaseRepresentation
bin1011111101000101…
…11010101101110000
3121120021200201100000
411332202322231300
5101121010044104
62540505030000
7315021344520
oct57642725560
917507621300
106418049904
1127a3904982
1212b1485300
137b3889c86
1444c551680
152786b4639
hex17e8bab70

6418049904 has 240 divisors, whose sum is σ = 22215578112. Its totient is φ = 1753830144.

The previous prime is 6418049879. The next prime is 6418049917. The reversal of 6418049904 is 4099408146.

It is a self number, because there is not a number n which added to its sum of digits gives 6418049904.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 620842 + ... + 631094.

Almost surely, 26418049904 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 6418049904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11107789056).

6418049904 is an abundant number, since it is smaller than the sum of its proper divisors (15797528208).

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

6418049904 is a wasteful number, since it uses less digits than its factorization.

6418049904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6418049904 is about 80112.7324711871. The cubic root of 6418049904 is about 1858.3793166597.

The spelling of 6418049904 in words is "six billion, four hundred eighteen million, forty-nine thousand, nine hundred four".