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51583144249 = 7131858730497
BaseRepresentation
bin110000000010100110…
…000101000100111001
311221010220210020021001
4300002212011010321
51321120241103444
635410313445001
73504164330440
oct600246050471
9157126706231
1051583144249
111a97038182a
129bb7110761
134b30a53580
1426d4ab7d57
15151d8648d4
hexc02985139

51583144249 has 16 divisors (see below), whose sum is σ = 63492444288. Its totient is φ = 40809503232.

The previous prime is 51583144241. The next prime is 51583144303. The reversal of 51583144249 is 94244138515.

It is a cyclic number.

It is not a de Polignac number, because 51583144249 - 23 = 51583144241 is a prime.

It is a super-2 number, since 2×515831442492 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51583144199 and 51583144208.

It is not an unprimeable number, because it can be changed into a prime (51583144241) 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, 1676169 + ... + 1706665.

It is an arithmetic number, because the mean of its divisors is an integer number (3968277768).

Almost surely, 251583144249 is an apocalyptic number.

It is an amenable number.

51583144249 is a deficient number, since it is larger than the sum of its proper divisors (11909300039).

51583144249 is a wasteful number, since it uses less digits than its factorization.

51583144249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49104.

The product of its digits is 691200, while the sum is 46.

The spelling of 51583144249 in words is "fifty-one billion, five hundred eighty-three million, one hundred forty-four thousand, two hundred forty-nine".

Divisors: 1 7 13 91 18587 30497 130109 213479 241631 396461 1691417 2775227 566847739 3967934173 7369020607 51583144249