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58029075752 = 23137121343649
BaseRepresentation
bin110110000010110011…
…010110110100101000
312112210010221110221212
4312002303112310220
51422320420411002
642354100252252
74123005001604
oct660263266450
9175703843855
1058029075752
112267899a54a
12b2b59a1088
13561a32321b
142b46c06504
1517996d5352
hexd82cd6d28

58029075752 has 32 divisors (see below), whose sum is σ = 109691577000. Its totient is φ = 28778348544.

The previous prime is 58029075737. The next prime is 58029075757. The reversal of 58029075752 is 25757092085.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37331649796 + 20697425956 = 193214^2 + 143866^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58029075752.

It is not an unprimeable number, because it can be changed into a prime (58029075757) 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 7 ways as a sum of consecutive naturals, for example, 1307624 + ... + 1351272.

Almost surely, 258029075752 is an apocalyptic number.

It is an amenable number.

58029075752 is a deficient number, since it is larger than the sum of its proper divisors (51662501248).

58029075752 is a wasteful number, since it uses less digits than its factorization.

58029075752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45005 (or 45001 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 50.

The spelling of 58029075752 in words is "fifty-eight billion, twenty-nine million, seventy-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 137 274 548 1096 1213 2426 4852 9704 43649 87298 166181 174596 332362 349192 664724 1329448 5979913 11959826 23919652 47839304 52946237 105892474 211784948 423569896 7253634469 14507268938 29014537876 58029075752