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4517248801 = 135952311261
BaseRepresentation
bin1000011010011111…
…11011111100100001
3102122211000000102011
410031033323330201
533222403430201
62024124152521
7216640660402
oct41517737441
912584000364
104517248801
111a0896197a
12a60998741
1356cb358b0
1430bd199a9
151b6899151
hex10d3fbf21

4517248801 has 16 divisors (see below), whose sum is σ = 4957081920. Its totient is φ = 4090893120.

The previous prime is 4517248787. The next prime is 4517248807. The reversal of 4517248801 is 1088427154.

It is a cyclic number.

It is not a de Polignac number, because 4517248801 - 211 = 4517246753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4517248807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395511 + ... + 406771.

It is an arithmetic number, because the mean of its divisors is an integer number (309817620).

Almost surely, 24517248801 is an apocalyptic number.

It is an amenable number.

4517248801 is a deficient number, since it is larger than the sum of its proper divisors (439833119).

4517248801 is a wasteful number, since it uses less digits than its factorization.

4517248801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856.

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 4517248801 is about 67210.4813328993. The cubic root of 4517248801 is about 1653.0703529931.

The spelling of 4517248801 in words is "four billion, five hundred seventeen million, two hundred forty-eight thousand, eight hundred one".

Divisors: 1 13 59 523 767 6799 11261 30857 146393 401141 664399 5889503 8637187 76563539 347480677 4517248801