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5158403538768 = 243253675891449
BaseRepresentation
bin100101100010000100011…
…0011110111111101010000
3200021010202000022122022100
41023010020303313331100
51134003402301220033
614545423214040400
71041453022424334
oct113041063677520
920233660278270
105158403538768
111709737355777
126b3896aa9100
132b5587666a6c
1413b94d2477c4
158e2ade5d513
hex4b108cf7f50

5158403538768 has 60 divisors (see below), whose sum is σ = 14708749734900. Its totient is φ = 1687025054208.

The previous prime is 5158403538763. The next prime is 5158403538787. The reversal of 5158403538768 is 8678353048515.

5158403538768 is a `hidden beast` number, since 5 + 1 + 58 + 40 + 3 + 538 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3293179642944 + 1865223895824 = 1814712^2 + 1365732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5158403538763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337938093 + ... + 337953356.

It is an arithmetic number, because the mean of its divisors is an integer number (245145828915).

Almost surely, 25158403538768 is an apocalyptic number.

It is an amenable number.

5158403538768 is an abundant number, since it is smaller than the sum of its proper divisors (9550346196132).

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

5158403538768 is a wasteful number, since it uses less digits than its factorization.

5158403538768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675891516 (or 675891507 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 5158403538768 in words is "five trillion, one hundred fifty-eight billion, four hundred three million, five hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 675891449 1351782898 2027674347 2703565796 4055348694 5407131592 6083023041 8110697388 10814263184 12166046082 16221394776 24332092164 32442789552 35822246797 48664184328 71644493594 97328368656 107466740391 143288987188 214933480782 286577974376 322400221173 429866961564 573155948752 644800442346 859733923128 1289600884692 1719467846256 2579201769384 5158403538768