Search a number
-
+
9641005104 = 243618339671
BaseRepresentation
bin10001111101010011…
…00001000000110000
3220212220020210201010
420332221201000300
5124221044130404
64232400110520
7460625122413
oct107651410060
926786223633
109641005104
1140a8106915
121a50905440
13ba8505063
146765d3b7a
153b65e9189
hex23ea61030

9641005104 has 80 divisors (see below), whose sum is σ = 25619860224. Its totient is φ = 3122822400.

The previous prime is 9641005097. The next prime is 9641005141. The reversal of 9641005104 is 4015001469.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 223189 + ... + 262859.

Almost surely, 29641005104 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 9641005104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809930112).

9641005104 is an abundant number, since it is smaller than the sum of its proper divisors (15978855120).

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

9641005104 is a wasteful number, since it uses less digits than its factorization.

9641005104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39826 (or 39820 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 9641005104 is about 98188.6200330772. The cubic root of 9641005104 is about 2128.3388419202.

The spelling of 9641005104 in words is "nine billion, six hundred forty-one million, five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 83 122 166 183 244 249 332 366 488 498 664 732 976 996 1328 1464 1992 2928 3984 5063 10126 15189 20252 30378 39671 40504 60756 79342 81008 119013 121512 158684 238026 243024 317368 476052 634736 952104 1904208 2419931 3292693 4839862 6585386 7259793 9679724 9878079 13170772 14519586 19359448 19756158 26341544 29039172 38718896 39512316 52683088 58078344 79024632 116156688 158049264 200854273 401708546 602562819 803417092 1205125638 1606834184 2410251276 3213668368 4820502552 9641005104