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505363634442 = 23353229771079
BaseRepresentation
bin1110101101010100000…
…01010001100100001010
31210022102122211120111000
413112222001101210022
531234441042300232
61024054424315430
751340245005502
oct7265201214412
91708378746430
10505363634442
11185361662437
1281b39312b76
133886a427774
141a661700a02
15d22b96827c
hex75aa05190a

505363634442 has 64 divisors (see below), whose sum is σ = 1149217632000. Its totient is φ = 164554213824.

The previous prime is 505363634407. The next prime is 505363634443. The reversal of 505363634442 is 244436363505.

505363634442 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 6 + 3 + 634 + 4 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (505363634443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269859 + ... + 1040937.

It is an arithmetic number, because the mean of its divisors is an integer number (17956525500).

Almost surely, 2505363634442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505363634442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574608816000).

505363634442 is an abundant number, since it is smaller than the sum of its proper divisors (643853997558).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505363634442 is a wasteful number, since it uses less digits than its factorization.

505363634442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771372 (or 771366 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

Adding to 505363634442 its reverse (244436363505), we get a palindrome (749799997947).

The spelling of 505363634442 in words is "five hundred five billion, three hundred sixty-three million, six hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 229 318 458 477 687 954 1374 1431 2061 2862 4122 6183 12137 12366 24274 36411 72822 109233 218466 327699 655398 771079 1542158 2313237 4626474 6939711 13879422 20819133 40867187 41638266 81734374 122601561 176577091 245203122 353154182 367804683 529731273 735609366 1059462546 1103414049 1589193819 2206828098 3178387638 4767581457 9358585823 9535162914 18717171646 28075757469 56151514938 84227272407 168454544814 252681817221 505363634442