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505201306045 = 5172349620281
BaseRepresentation
bin1110101101000000101…
…10000010100110111101
31210022000100101102210011
413112200112002212331
531234123013243140
61024030345143221
751333234151042
oct7264026024675
91708010342704
10505201306045
11185288a6a737
1281ab2a8ab11
1338842900267
141a647d271c9
15d21c5a0cea
hex75a05829bd

505201306045 has 12 divisors (see below), whose sum is σ = 644000559444. Its totient is φ = 380386864640.

The previous prime is 505201306021. The next prime is 505201306081. The reversal of 505201306045 is 540603102505.

It can be written as a sum of positive squares in 6 ways, for example, as 3048516 + 505198257529 = 1746^2 + 710773^2 .

It is not a de Polignac number, because 505201306045 - 29 = 505201305533 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505201305998 and 505201306016.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 174808696 + ... + 174811585.

It is an arithmetic number, because the mean of its divisors is an integer number (53666713287).

Almost surely, 2505201306045 is an apocalyptic number.

It is an amenable number.

505201306045 is a deficient number, since it is larger than the sum of its proper divisors (138799253399).

505201306045 is a wasteful number, since it uses less digits than its factorization.

505201306045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349620320 (or 349620303 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 505201306045 in words is "five hundred five billion, two hundred one million, three hundred six thousand, forty-five".

Divisors: 1 5 17 85 289 1445 349620281 1748101405 5943544777 29717723885 101040261209 505201306045