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99055872000 = 211345317281
BaseRepresentation
bin101110001000000110…
…0001010100000000000
3100110200101002200010000
41130100030022200000
53110331300401000
6113301115040000
710104461006511
oct1342014124000
9313611080100
1099055872000
1139011503828
1217245740000
139458035617
144b198d8a08
15289b3e3000
hex171030a800

99055872000 has 960 divisors, whose sum is σ = 392360688720. Its totient is φ = 24772608000.

The previous prime is 99055871987. The next prime is 99055872007. The reversal of 99055872000 is 27855099.

It is a happy number.

99055872000 is a `hidden beast` number, since 9 + 90 + 558 + 7 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16277677056 + 82778194944 = 127584^2 + 287712^2 .

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

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 (99055872007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 352511860 + ... + 352512140.

Almost surely, 299055872000 is an apocalyptic number.

99055872000 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 99055872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196180344360).

99055872000 is an abundant number, since it is smaller than the sum of its proper divisors (293304816720).

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

99055872000 is a wasteful number, since it uses less digits than its factorization.

99055872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 99055872000 in words is "ninety-nine billion, fifty-five million, eight hundred seventy-two thousand".