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58905689472 = 273273149077
BaseRepresentation
bin110110110111000011…
…010111110110000000
312122001020110001220200
4312313003113312000
51431114324030342
643021053205200
74153511046000
oct666703276600
9178036401820
1058905689472
1122a887a93a3
12b4bb490800
135729b1c076
142bcb3d6000
1517eb64294c
hexdb70d7d80

58905689472 has 192 divisors, whose sum is σ = 197677428000. Its totient is φ = 16830084096.

The previous prime is 58905689429. The next prime is 58905689489. The reversal of 58905689472 is 27498650985.

58905689472 is a `hidden beast` number, since 5 + 89 + 0 + 5 + 6 + 89 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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, 320598 + ... + 469674.

Almost surely, 258905689472 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 58905689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98838714000).

58905689472 is an abundant number, since it is smaller than the sum of its proper divisors (138771738528).

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

58905689472 is a wasteful number, since it uses less digits than its factorization.

58905689472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149118 (or 149089 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 58905689472 in words is "fifty-eight billion, nine hundred five million, six hundred eighty-nine thousand, four hundred seventy-two".