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1456660161 = 321114713739
BaseRepresentation
bin101011011010010…
…1101111011000001
310202111222000002100
41112310231323001
510440401111121
6400313141013
751045256425
oct12664557301
93674860070
101456660161
11688279380
123479ba769
131a2a294b8
14db660b85
1587d38026
hex56d2dec1

1456660161 has 12 divisors (see below), whose sum is σ = 2295343440. Its totient is φ = 882824280.

The previous prime is 1456660151. The next prime is 1456660171. The reversal of 1456660161 is 1610666541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1456660151) and next prime (1456660171).

It is not a de Polignac number, because 1456660161 - 25 = 1456660129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1456660151) 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 11 ways as a sum of consecutive naturals, for example, 7356771 + ... + 7356968.

It is an arithmetic number, because the mean of its divisors is an integer number (191278620).

Almost surely, 21456660161 is an apocalyptic number.

1456660161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1456660161 is a deficient number, since it is larger than the sum of its proper divisors (838683279).

1456660161 is a wasteful number, since it uses less digits than its factorization.

1456660161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14713756 (or 14713753 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1456660161 is about 38166.2175359309. The cubic root of 1456660161 is about 1133.5814945519.

The spelling of 1456660161 in words is "one billion, four hundred fifty-six million, six hundred sixty thousand, one hundred sixty-one".

Divisors: 1 3 9 11 33 99 14713739 44141217 132423651 161851129 485553387 1456660161