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58952466432 = 21432401997
BaseRepresentation
bin110110111001110101…
…110100000000000000
312122011111110120211200
4312321311310000000
51431213312411212
643025443541200
74154616460656
oct667165640000
9178144416750
1058952466432
1123002148642
12b51308a800
135736719442
142bd36d0dd6
1518007d26dc
hexdb9d74000

58952466432 has 180 divisors, whose sum is σ = 170897861316. Its totient is φ = 19582156800.

The previous prime is 58952466421. The next prime is 58952466449. The reversal of 58952466432 is 23466425985.

58952466432 is a `hidden beast` number, since 5 + 89 + 524 + 6 + 6 + 4 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55590322176 + 3362144256 = 235776^2 + 57984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59129358 + ... + 59130354.

Almost surely, 258952466432 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 58952466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85448930658).

58952466432 is an abundant number, since it is smaller than the sum of its proper divisors (111945394884).

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

58952466432 is an equidigital number, since it uses as much as digits as its factorization.

58952466432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1403 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 58952466432 in words is "fifty-eight billion, nine hundred fifty-two million, four hundred sixty-six thousand, four hundred thirty-two".