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51290019729 = 3213258072
BaseRepresentation
bin101111110001000111…
…111001011110010001
311220101111012222000100
4233301013321132101
51320020221112404
635321243043013
73464004655134
oct576107713621
9156344188010
1051290019729
111a82a973a63
129b34b10469
134ab50c2100
1426a7bb421b
151502c62d39
hexbf11f9791

51290019729 has 27 divisors (see below), whose sum is σ = 80236668603. Its totient is φ = 31557653712.

The previous prime is 51290019719. The next prime is 51290019763. The reversal of 51290019729 is 92791009215.

The square root of 51290019729 is 226473.

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., 7587281025 + 43702738704 = 87105^2 + 209052^2 .

It is not a de Polignac number, because 51290019729 - 27 = 51290019601 is a prime.

It is a super-2 number, since 2×512900197292 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51290019719) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8829544 + ... + 8835350.

Almost surely, 251290019729 is an apocalyptic number.

51290019729 is the 226473-rd square number.

51290019729 is the 113237-th centered octagonal number.

It is an amenable number.

51290019729 is a deficient number, since it is larger than the sum of its proper divisors (28946648874).

51290019729 is an frugal number, since it uses more digits than its factorization.

51290019729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11646 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 51290019729 in words is "fifty-one billion, two hundred ninety million, nineteen thousand, seven hundred twenty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 5807 17421 52263 75491 226473 679419 981383 2944149 8832447 33721249 101163747 303491241 438376237 1315128711 3945386133 5698891081 17096673243 51290019729