Search a number
-
+
17996090112 = 283571113172
BaseRepresentation
bin10000110000101001…
…101000101100000000
31201110011211002200000
4100300221220230000
5243323444340422
612133422400000
71204650146010
oct206051505400
951404732600
1017996090112
1176a5361950
1235a2a30000
13190a491a40
14c2a0cdc40
15704d84cac
hex430a68b00

17996090112 has 1296 divisors, whose sum is σ = 76746738432. Its totient is φ = 4060938240.

The previous prime is 17996090087. The next prime is 17996090149. The reversal of 17996090112 is 21109069971.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1058593528 + ... + 1058593544.

Almost surely, 217996090112 is an apocalyptic number.

17996090112 is a gapful number since it is divisible by the number (12) 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 17996090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38373369216).

17996090112 is an abundant number, since it is smaller than the sum of its proper divisors (58750648320).

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

17996090112 is a wasteful number, since it uses less digits than its factorization.

17996090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 45.

It can be divided in two parts, 179960 and 90112, that added together give a palindrome (270072).

The spelling of 17996090112 in words is "seventeen billion, nine hundred ninety-six million, ninety thousand, one hundred twelve".