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4148260193 = 711973731489
BaseRepresentation
bin1111011101000001…
…0110110101100001
3101201002200110012102
43313100112311201
531443423311233
61523343340145
7204540426020
oct36720266541
911632613172
104148260193
111839648310
129792b1655
1351156173c
142b4d088b7
151942ae1e8
hexf7416d61

4148260193 has 32 divisors (see below), whose sum is σ = 5242702080. Its totient is φ = 3188367360.

The previous prime is 4148260163. The next prime is 4148260223. The reversal of 4148260193 is 3910628414.

It is an interprime number because it is at equal distance from previous prime (4148260163) and next prime (4148260223).

It is a cyclic number.

It is not a de Polignac number, because 4148260193 - 28 = 4148259937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4148260163) 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, 2785193 + ... + 2786681.

It is an arithmetic number, because the mean of its divisors is an integer number (163834440).

Almost surely, 24148260193 is an apocalyptic number.

It is an amenable number.

4148260193 is a deficient number, since it is larger than the sum of its proper divisors (1094441887).

4148260193 is a wasteful number, since it uses less digits than its factorization.

4148260193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977.

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 4148260193 is about 64406.9886968798. The cubic root of 4148260193 is about 1606.7759759645.

The spelling of 4148260193 in words is "four billion, one hundred forty-eight million, two hundred sixty thousand, one hundred ninety-three".

Divisors: 1 7 11 77 97 373 679 1067 1489 2611 4103 7469 10423 16379 28721 36181 114653 144433 253267 397991 555397 1011031 1588763 2785937 3887779 6109367 11121341 42765569 53873509 377114563 592608599 4148260193