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51348919609 = 132174312
BaseRepresentation
bin101111110100101000…
…100101010100111001
311220112121001101110101
4233310220211110321
51320130310411414
635331145315401
73465321420661
oct576450452471
9156477041411
1051348919609
111a860143349
129b50795b61
134ac4375400
1426b19471a1
151507ee9a74
hexbf4a25539

51348919609 has 9 divisors (see below), whose sum is σ = 55605866319. Its totient is φ = 47396283480.

The previous prime is 51348919607. The next prime is 51348919621. The reversal of 51348919609 is 90691984315.

The square root of 51348919609 is 226603.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7595994025 + 43752925584 = 87155^2 + 209172^2 .

It is not a de Polignac number, because 51348919609 - 21 = 51348919607 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51348919609.

It is not an unprimeable number, because it can be changed into a prime (51348919607) 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 8 ways as a sum of consecutive naturals, for example, 2937124 + ... + 2954554.

It is an arithmetic number, because the mean of its divisors is an integer number (6178429591).

Almost surely, 251348919609 is an apocalyptic number.

51348919609 is the 226603-rd square number.

51348919609 is the 113302-nd centered octagonal number.

It is an amenable number.

51348919609 is a deficient number, since it is larger than the sum of its proper divisors (4256946710).

51348919609 is an frugal number, since it uses more digits than its factorization.

51348919609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34888 (or 17444 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 55.

The spelling of 51348919609 in words is "fifty-one billion, three hundred forty-eight million, nine hundred nineteen thousand, six hundred nine".

Divisors: 1 13 169 17431 226603 2945839 303839761 3949916893 51348919609