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505353311463 = 372111324040403
BaseRepresentation
bin1110101101010010110…
…01111001010011100111
31210022101221102010000110
413112221121321103213
531234430421431323
61024053415144103
751340061162400
oct7265131712347
91708357363013
10505353311463
11185356851650
1281b35975033
1338868251bb0
141a6601b49a7
15d22aac9793
hex75a96794e7

505353311463 has 48 divisors (see below), whose sum is σ = 920843634816. Its totient is φ = 242327252160.

The previous prime is 505353311447. The next prime is 505353311521. The reversal of 505353311463 is 364113353505.

It is not a de Polignac number, because 505353311463 - 24 = 505353311447 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505353311363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11999181 + ... + 12041222.

It is an arithmetic number, because the mean of its divisors is an integer number (19184242392).

Almost surely, 2505353311463 is an apocalyptic number.

505353311463 is a deficient number, since it is larger than the sum of its proper divisors (415490323353).

505353311463 is a wasteful number, since it uses less digits than its factorization.

505353311463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24040444 (or 24040437 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 39.

Adding to 505353311463 its reverse (364113353505), we get a palindrome (869466664968).

The spelling of 505353311463 in words is "five hundred five billion, three hundred fifty-three million, three hundred eleven thousand, four hundred sixty-three".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 21021 24040403 72121209 168282821 264444433 312525239 504848463 793333299 937575717 1177979747 1851111031 2187676673 3437777629 3533939241 5553333093 6563030019 10313332887 12957777217 15313736711 24064443403 38873331651 45941210133 72193330209 168451103821 505353311463