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99115228800 = 2735527131139
BaseRepresentation
bin101110001001110111…
…0100101111010000000
3100110211111210022100000
41130103232211322000
53110441444310200
6113311035200000
710106111354430
oct1342356457200
9313744708300
1099115228800
1139041a65435
12172615a6000
1394674188a3
144b2374a2c0
1528a171a300
hex1713ba5e80

99115228800 has 1152 divisors, whose sum is σ = 425397772800. Its totient is φ = 22320230400.

The previous prime is 99115228781. The next prime is 99115228801. The reversal of 99115228800 is 882251199.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (99115228801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 713059131 + ... + 713059269.

It is an arithmetic number, because the mean of its divisors is an integer number (369268900).

Almost surely, 299115228800 is an apocalyptic number.

99115228800 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 99115228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212698886400).

99115228800 is an abundant number, since it is smaller than the sum of its proper divisors (326282544000).

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

99115228800 is a wasteful number, since it uses less digits than its factorization.

99115228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

Adding to 99115228800 its reverse (882251199), we get a palindrome (99997479999).

The spelling of 99115228800 in words is "ninety-nine billion, one hundred fifteen million, two hundred twenty-eight thousand, eight hundred".