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58006431296 = 26112379137331
BaseRepresentation
bin110110000001011100…
…111110011001000000
312112201120100000121022
4312001130332121000
51422244121300141
642351531045012
74122311350022
oct660134763100
9175646300538
1058006431296
1122667133420
12b2aa2a0768
135615725238
142b43bd0012
151797710b4b
hexd8173e640

58006431296 has 224 divisors, whose sum is σ = 134061281280. Its totient is φ = 24644505600.

The previous prime is 58006431269. The next prime is 58006431313. The reversal of 58006431296 is 69213460085.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175245851 + ... + 175246181.

Almost surely, 258006431296 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 58006431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67030640640).

58006431296 is an abundant number, since it is smaller than the sum of its proper divisors (76054849984).

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

58006431296 is a wasteful number, since it uses less digits than its factorization.

58006431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 58006431296 in words is "fifty-eight billion, six million, four hundred thirty-one thousand, two hundred ninety-six".