Search a number
-
+
99803450880 = 293257373173
BaseRepresentation
bin101110011110010111…
…1111100111000000000
3100112121110210121112200
41130330233330320000
53113344140412010
6113503222153200
710132136223000
oct1347457747000
9315543717480
1099803450880
113936549a911
1217413b82800
139546b930a3
144b8acda000
1528e1d62cc0
hex173cbfce00

99803450880 has 960 divisors, whose sum is σ = 410971017600. Its totient is φ = 22369665024.

The previous prime is 99803450843. The next prime is 99803450911. The reversal of 99803450880 is 8805430899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 576898474 + ... + 576898646.

It is an arithmetic number, because the mean of its divisors is an integer number (428094810).

Almost surely, 299803450880 is an apocalyptic number.

99803450880 is a gapful number since it is divisible by the number (90) 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 99803450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205485508800).

99803450880 is an abundant number, since it is smaller than the sum of its proper divisors (311167566720).

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

99803450880 is a wasteful number, since it uses less digits than its factorization.

99803450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 99803450880 in words is "ninety-nine billion, eight hundred three million, four hundred fifty thousand, eight hundred eighty".