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505364535316 = 224143647311071
BaseRepresentation
bin1110101101010100001…
…00101101100000010100
31210022102201112100020201
413112222010231200110
531234441310112231
61024054455510244
751340255450114
oct7265204554024
91708381470221
10505364535316
11185362118263
1281b39688384
133886a681824
141a661897044
15d22ba95161
hex75aa12d814

505364535316 has 48 divisors (see below), whose sum is σ = 927254135808. Its totient is φ = 240727334400.

The previous prime is 505364535281. The next prime is 505364535317. The reversal of 505364535316 is 613535463505.

It is a super-2 number, since 2×5053645353162 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505364535317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45642061 + ... + 45653131.

It is an arithmetic number, because the mean of its divisors is an integer number (19317794496).

Almost surely, 2505364535316 is an apocalyptic number.

It is an amenable number.

505364535316 is a deficient number, since it is larger than the sum of its proper divisors (421889600492).

505364535316 is a wasteful number, since it uses less digits than its factorization.

505364535316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17632 (or 17630 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 46.

The spelling of 505364535316 in words is "five hundred five billion, three hundred sixty-four million, five hundred thirty-five thousand, three hundred sixteen".

Divisors: 1 2 4 41 43 82 86 164 172 1763 3526 6473 7052 11071 12946 22142 25892 44284 265393 278339 453911 476053 530786 556678 907822 952106 1061572 1113356 1815644 1904212 11411899 19518173 22823798 39036346 45647596 71662583 78072692 143325166 286650332 2938165903 3081491069 5876331806 6162982138 11752663612 12325964276 126341133829 252682267658 505364535316