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505201466661 = 31716759316833
BaseRepresentation
bin1110101101000000101…
…10101001110100100101
31210022000100200121002220
413112200112221310211
531234123033413121
61024030352422553
751333235420233
oct7264026516445
91708010617086
10505201466661
1118528906a381
1281ab2b47a59
13388429583b8
141a647d69953
15d21c5d36c6
hex75a05a9d25

505201466661 has 16 divisors (see below), whose sum is σ = 717496424064. Its totient is φ = 315091011584.

The previous prime is 505201466639. The next prime is 505201466767. The reversal of 505201466661 is 166664102505.

It is a cyclic number.

It is not a de Polignac number, because 505201466661 - 29 = 505201466149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505201486661) 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 15 ways as a sum of consecutive naturals, for example, 29649900 + ... + 29666933.

It is an arithmetic number, because the mean of its divisors is an integer number (44843526504).

Almost surely, 2505201466661 is an apocalyptic number.

505201466661 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

505201466661 is a deficient number, since it is larger than the sum of its proper divisors (212294957403).

505201466661 is a wasteful number, since it uses less digits than its factorization.

505201466661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59317020.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 505201466661 in words is "five hundred five billion, two hundred one million, four hundred sixty-six thousand, six hundred sixty-one".

Divisors: 1 3 17 51 167 501 2839 8517 59316833 177950499 1008386161 3025158483 9905911111 29717733333 168400488887 505201466661