Search a number
-
+
58321029312 = 26327213212227
BaseRepresentation
bin110110010100001101…
…000100100011000000
312120112111022020221200
4312110031010203000
51423420140414222
642443050021200
74133151366300
oct662415044300
9176474266850
1058321029312
1122808778587
12b377717800
135665964700
142b738c3600
1517b5154eac
hexd943448c0

58321029312 has 378 divisors, whose sum is σ = 210585492468. Its totient is φ = 15380112384.

The previous prime is 58321029259. The next prime is 58321029329. The reversal of 58321029312 is 21392012385.

58321029312 is a `hidden beast` number, since 583 + 21 + 0 + 29 + 31 + 2 = 666.

It is a super-2 number, since 2×583210293122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4763743 + ... + 4775969.

Almost surely, 258321029312 is an apocalyptic number.

58321029312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58321029312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105292746234).

58321029312 is an abundant number, since it is smaller than the sum of its proper divisors (152264463156).

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

58321029312 is a wasteful number, since it uses less digits than its factorization.

58321029312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285 (or 12252 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 58321029312 in words is "fifty-eight billion, three hundred twenty-one million, twenty-nine thousand, three hundred twelve".