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99603360000 = 2832542632
BaseRepresentation
bin101110011000011010…
…0101010100100000000
3100112002112021221110100
41130300310222210000
53112441430010000
6113431313402400
710124156406444
oct1346064524400
9315075257410
1099603360000
1139272555651
1217378b69400
1395145a6611
144b6c4d2824
1528ce4dba00
hex1730d2a900

99603360000 has 405 divisors, whose sum is σ = 360231110239. Its totient is φ = 26459904000.

The previous prime is 99603359983. The next prime is 99603360001. The reversal of 99603360000 is 6330699.

The square root of 99603360000 is 315600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 7808903424 + 91794456576 = 88368^2 + 302976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99603360001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 378719869 + ... + 378720131.

Almost surely, 299603360000 is an apocalyptic number.

99603360000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99603360000 is the 315600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99603360000

99603360000 is an abundant number, since it is smaller than the sum of its proper divisors (260627750239).

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

99603360000 is an frugal number, since it uses more digits than its factorization.

99603360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

Multiplying 99603360000 by its sum of digits (36), we get a square (3585720960000 = 18936002).

99603360000 divided by its sum of digits (36) gives a square (2766760000 = 526002).

Adding to 99603360000 its reverse (6330699), we get a palindrome (99609690699).

The spelling of 99603360000 in words is "ninety-nine billion, six hundred three million, three hundred sixty thousand".