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58044292992 = 273273178641
BaseRepresentation
bin110110000011101101…
…011001111110000000
312112211012120121002100
4312003231121332000
51422333314333432
642355402350400
74123251231000
oct660355317600
9175735517070
1058044292992
1122686543484
12b2baabb400
1356205206ca
142b48c48000
15179abde07c
hexd83b59f80

58044292992 has 384 divisors, whose sum is σ = 206267256000. Its totient is φ = 15606743040.

The previous prime is 58044292909. The next prime is 58044293017. The reversal of 58044292992 is 29929244085.

It is a happy number.

58044292992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×580442929922 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6712992 + ... + 6721632.

Almost surely, 258044292992 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 58044292992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103133628000).

58044292992 is an abundant number, since it is smaller than the sum of its proper divisors (148222963008).

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

58044292992 is a wasteful number, since it uses less digits than its factorization.

58044292992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8699 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 58044292992 in words is "fifty-eight billion, forty-four million, two hundred ninety-two thousand, nine hundred ninety-two".