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9108030096 = 24341122412
BaseRepresentation
bin10000111101110000…
…11000001010010000
3212111202100212110000
420132320120022100
5122123123430341
64103440410000
7441463656414
oct103670301220
925452325400
109108030096
113954277900
121922316900
13b21c75b29
146258d6d44
1538491a8b6
hex21ee18290

9108030096 has 225 divisors, whose sum is σ = 29096353209. Its totient is φ = 2748556800.

The previous prime is 9108030091. The next prime is 9108030097. The reversal of 9108030096 is 6900308019.

The square root of 9108030096 is 95436.

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., 6849879696 + 2258150400 = 82764^2 + 47520^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 9108030096.

It is not an unprimeable number, because it can be changed into a prime (9108030091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37792536 + ... + 37792776.

Almost surely, 29108030096 is an apocalyptic number.

9108030096 is the 95436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9108030096

9108030096 is an abundant number, since it is smaller than the sum of its proper divisors (19988323113).

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

9108030096 is a wasteful number, since it uses less digits than its factorization.

9108030096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 9108030096 is about 2088.3733973513.

Multiplying 9108030096 by its sum of digits (36), we get a square (327889083456 = 5726162).

9108030096 divided by its sum of digits (36) gives a square (253000836 = 159062).

Multiplying 9108030096 by its product of nonzero digits (11664), we get a square (106236063039744 = 103070882).

The spelling of 9108030096 in words is "nine billion, one hundred eight million, thirty thousand, ninety-six".