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58447414081 = 72345372
BaseRepresentation
bin110110011011101111…
…001100001101000001
312120212022010021021001
4312123233030031001
51424200014222311
642503402532001
74136244552100
oct663357141501
9176768107231
1058447414081
1122873050301
12b3b1b07001
135685bb57b4
142b865c2037
1517c12bc4c1
hexd9bbcc341

58447414081 has 9 divisors (see below), whose sum is σ = 67991817699. Its totient is φ = 50096332944.

The previous prime is 58447414079. The next prime is 58447414099. The reversal of 58447414081 is 18041474485.

The square root of 58447414081 is 241759.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9790113025 + 48657301056 = 98945^2 + 220584^2 .

It is not a de Polignac number, because 58447414081 - 21 = 58447414079 is a prime.

It is a super-2 number, since 2×584474140812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58447414061) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1675045 + ... + 1709581.

It is an arithmetic number, because the mean of its divisors is an integer number (7554646411).

Almost surely, 258447414081 is an apocalyptic number.

58447414081 is the 241759-th square number.

58447414081 is the 120880-th centered octagonal number.

It is an amenable number.

58447414081 is a deficient number, since it is larger than the sum of its proper divisors (9544403618).

58447414081 is an frugal number, since it uses more digits than its factorization.

58447414081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69088 (or 34544 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The spelling of 58447414081 in words is "fifty-eight billion, four hundred forty-seven million, four hundred fourteen thousand, eighty-one".

Divisors: 1 7 49 34537 241759 1692313 1192804369 8349630583 58447414081