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58042329696 = 2532131723311279
BaseRepresentation
bin110110000011100101…
…111010101001100000
312112211001212211221200
4312003211322221200
51422332314022241
642355252321200
74123225443051
oct660345725140
9175731784850
1058042329696
112268542241a
12b2ba313200
13561ccb3bb0
142b48896728
15179a9524b6
hexd8397aa60

58042329696 has 576 divisors, whose sum is σ = 202887659520. Its totient is φ = 15547023360.

The previous prime is 58042329659. The next prime is 58042329733. The reversal of 58042329696 is 69692324085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58042329659) and next prime (58042329733).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 45380385 + ... + 45381663.

It is an arithmetic number, because the mean of its divisors is an integer number (352235520).

Almost surely, 258042329696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58042329696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101443829760).

58042329696 is an abundant number, since it is smaller than the sum of its proper divisors (144845329824).

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

58042329696 is a wasteful number, since it uses less digits than its factorization.

58042329696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 58042329696 in words is "fifty-eight billion, forty-two million, three hundred twenty-nine thousand, six hundred ninety-six".