Search a number
-
+
99232642080 = 253351121317859
BaseRepresentation
bin101110001101010111…
…0011111010000100000
3100111010200201112002000
41130122232133100200
53111212024021310
6113330431524000
710112035353255
oct1343256372040
9314120645060
1099232642080
11390a226a800
1217294989600
1394858482c0
144b3519142c
1528abbae4c0
hex171ab9f420

99232642080 has 1152 divisors, whose sum is σ = 435815251200. Its totient is φ = 20875345920.

The previous prime is 99232642079. The next prime is 99232642087. The reversal of 99232642080 is 8024623299.

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

It is not an unprimeable number, because it can be changed into a prime (99232642087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115520691 + ... + 115521549.

It is an arithmetic number, because the mean of its divisors is an integer number (378311850).

Almost surely, 299232642080 is an apocalyptic number.

99232642080 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 99232642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217907625600).

99232642080 is an abundant number, since it is smaller than the sum of its proper divisors (336582609120).

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

99232642080 is a wasteful number, since it uses less digits than its factorization.

99232642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 99232642080 in words is "ninety-nine billion, two hundred thirty-two million, six hundred forty-two thousand, eighty".