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90096025600 = 2145272672
BaseRepresentation
bin101001111101000100…
…1000100000000000000
322121112221120022111001
41103322021010000000
52434004040304400
6105220050301344
76336443403400
oct1237211040000
9277487508431
1090096025600
1135233948599
1215564b87854
13865a9a3a69
144509976800
1525249e8a6a
hex14fa244000

90096025600 has 405 divisors, whose sum is σ = 263847059973. Its totient is φ = 30429020160.

The previous prime is 90096025561. The next prime is 90096025693. The reversal of 90096025600 is 652069009.

It is a happy number.

The square root of 90096025600 is 300160.

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

It can be written as a sum of positive squares in only one way, i.e., 32434569216 + 57661456384 = 180096^2 + 240128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90096025600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1344716767 + ... + 1344716833.

Almost surely, 290096025600 is an apocalyptic number.

90096025600 is the 300160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90096025600

90096025600 is an abundant number, since it is smaller than the sum of its proper divisors (173751034373).

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

90096025600 is an frugal number, since it uses more digits than its factorization.

90096025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 90096025600 in words is "ninety billion, ninety-six million, twenty-five thousand, six hundred".