Search a number
-
+
11423563008 = 2831113414359
BaseRepresentation
bin10101010001110010…
…11011110100000000
31002111010110010110020
422220321123310000
5141343413004013
65125314333440
7553041453264
oct125071336400
932433403406
1011423563008
114932337a70
12226988a280
1311008c9050
147a524a0a4
1546cd59623
hex2a8e5bd00

11423563008 has 576 divisors, whose sum is σ = 38075304960. Its totient is φ = 2993356800.

The previous prime is 11423563007. The next prime is 11423563033. The reversal of 11423563008 is 80036532411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 11423563008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11423563003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193619683 + ... + 193619741.

It is an arithmetic number, because the mean of its divisors is an integer number (66102960).

Almost surely, 211423563008 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 11423563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19037652480).

11423563008 is an abundant number, since it is smaller than the sum of its proper divisors (26651741952).

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

11423563008 is a wasteful number, since it uses less digits than its factorization.

11423563008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 11423563008 in words is "eleven billion, four hundred twenty-three million, five hundred sixty-three thousand, eight".