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8085948801 = 376711514993
BaseRepresentation
bin1111000011111010…
…11100100110000001
3202212112010202111020
413201331130212001
5113030000330201
63414205540053
7404243300520
oct74175344601
922775122436
108085948801
11347a342017
121697b74629
139bb2a70b8
14569c7c4b7
15324d26a36
hex1e1f5c981

8085948801 has 32 divisors (see below), whose sum is σ = 12518719488. Its totient is φ = 4546713600.

The previous prime is 8085948781. The next prime is 8085948821. The reversal of 8085948801 is 1088495808.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8085948781) and next prime (8085948821).

It is not a de Polignac number, because 8085948801 - 210 = 8085947777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8085948821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1616961 + ... + 1621953.

It is an arithmetic number, because the mean of its divisors is an integer number (391209984).

Almost surely, 28085948801 is an apocalyptic number.

It is an amenable number.

8085948801 is a deficient number, since it is larger than the sum of its proper divisors (4432770687).

8085948801 is a wasteful number, since it uses less digits than its factorization.

8085948801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221.

The product of its (nonzero) digits is 737280, while the sum is 51.

The square root of 8085948801 is about 89921.9038999954. The cubic root of 8085948801 is about 2007.1369021041.

The spelling of 8085948801 in words is "eight billion, eighty-five million, nine hundred forty-eight thousand, eight hundred one".

Divisors: 1 3 7 21 67 201 469 1151 1407 3453 4993 8057 14979 24171 34951 77117 104853 231351 334531 539819 1003593 1619457 2341717 5746943 7025151 17240829 40228601 120685803 385045181 1155135543 2695316267 8085948801