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2148508461 = 311101644617
BaseRepresentation
bin1000000000001111…
…1010001100101101
312112201210112112110
42000003322030231
513400004232321
6553105554233
7104146010031
oct20003721455
95481715473
102148508461
11a02860230
124bb645979
132831733a8
141654b61c1
15c894a176
hex800fa32d

2148508461 has 16 divisors (see below), whose sum is σ = 3156049728. Its totient is φ = 1289232000.

The previous prime is 2148508421. The next prime is 2148508463. The reversal of 2148508461 is 1648058412.

It is not a de Polignac number, because 2148508461 - 213 = 2148500269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148508463) 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 15 ways as a sum of consecutive naturals, for example, 318976 + ... + 325641.

It is an arithmetic number, because the mean of its divisors is an integer number (197253108).

Almost surely, 22148508461 is an apocalyptic number.

It is an amenable number.

2148508461 is a deficient number, since it is larger than the sum of its proper divisors (1007541267).

2148508461 is a wasteful number, since it uses less digits than its factorization.

2148508461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644732.

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2148508461 is about 46352.0060083703. The cubic root of 2148508461 is about 1290.3643505406.

The spelling of 2148508461 in words is "two billion, one hundred forty-eight million, five hundred eight thousand, four hundred sixty-one".

Divisors: 1 3 11 33 101 303 1111 3333 644617 1933851 7090787 21272361 65106317 195318951 716169487 2148508461