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51105135042 = 23213375902649
BaseRepresentation
bin101111100110000110…
…100111100111000010
311212220121022211220100
4233212012213213002
51314130403310132
635251040223230
73456301323543
oct574606474702
9155817284810
1051105135042
111a7455753a5
129aa300ab16
134a859caaa0
14268b4084ca
1514e18e237c
hexbe61a79c2

51105135042 has 48 divisors (see below), whose sum is σ = 122468182200. Its totient is φ = 15299663616.

The previous prime is 51105135041. The next prime is 51105135047. The reversal of 51105135042 is 24053150115.

51105135042 is a `hidden beast` number, since 51 + 10 + 513 + 50 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40711536441 + 10393598601 = 201771^2 + 101949^2 .

It is a super-2 number, since 2×511051350422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51105134997 and 51105135015.

It is not an unprimeable number, because it can be changed into a prime (51105135041) 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 23 ways as a sum of consecutive naturals, for example, 2942667 + ... + 2959982.

Almost surely, 251105135042 is an apocalyptic number.

51105135042 is an abundant number, since it is smaller than the sum of its proper divisors (71363047158).

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

51105135042 is a wasteful number, since it uses less digits than its factorization.

51105135042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902707 (or 5902704 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 51105135042 its reverse (24053150115), we get a palindrome (75158285157).

The spelling of 51105135042 in words is "fifty-one billion, one hundred five million, one hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 962 1443 2886 4329 8658 5902649 11805298 17707947 35415894 53123841 76734437 106247682 153468874 218398013 230203311 436796026 460406622 655194039 690609933 1310388078 1381219866 1965582117 2839174169 3931164234 5678348338 8517522507 17035045014 25552567521 51105135042