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505641146505 = 35113064491797
BaseRepresentation
bin1110101101110101000…
…11111001100010001001
31210100011000000122110120
413112322203321202021
531241023113142010
61024142140333453
751350154554535
oct7267243714211
91710130018416
10505641146505
11185494277350
1281bb6244289
13388b2a808a1
141a68a4dcbc5
15d245ed3e70
hex75ba8f9889

505641146505 has 16 divisors (see below), whose sum is σ = 882573637824. Its totient is φ = 245159343680.

The previous prime is 505641146473. The next prime is 505641146513.

505641146505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505641146505 - 25 = 505641146473 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1532245734 + ... + 1532246063.

It is an arithmetic number, because the mean of its divisors is an integer number (55160852364).

Almost surely, 2505641146505 is an apocalyptic number.

505641146505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505641146505 is a deficient number, since it is larger than the sum of its proper divisors (376932491319).

505641146505 is a wasteful number, since it uses less digits than its factorization.

505641146505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064491816.

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 505641146505 in words is "five hundred five billion, six hundred forty-one million, one hundred forty-six thousand, five hundred five".

Divisors: 1 3 5 11 15 33 55 165 3064491797 9193475391 15322458985 33709409767 45967376955 101128229301 168547048835 505641146505