Search a number
-
+
99813109410 = 23457193197463
BaseRepresentation
bin101110011110101010…
…0110010111010100010
3100112122010222022120000
41130331110302322202
53113404124000120
6113504205200430
710132314300660
oct1347524627242
9315563868500
1099813109410
113936a997473
1217417260116
139548b953b1
144b8c2d1c30
1528e2b1e990
hex173d532ea2

99813109410 has 320 divisors, whose sum is σ = 310550879232. Its totient is φ = 22532235264.

The previous prime is 99813109391. The next prime is 99813109441. The reversal of 99813109410 is 1490131899.

99813109410 is a nontrivial binomial coefficient, being equal to C(446796, 2).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 215578839 + ... + 215579301.

Almost surely, 299813109410 is an apocalyptic number.

99813109410 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99813109410 is the 446795-th triangular number and also the 223398-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99813109410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155275439616).

99813109410 is an abundant number, since it is smaller than the sum of its proper divisors (210737769822).

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

99813109410 is a wasteful number, since it uses less digits than its factorization.

99813109410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 99813109410 in words is "ninety-nine billion, eight hundred thirteen million, one hundred nine thousand, four hundred ten".