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1058238091849 = 457222512
BaseRepresentation
bin11110110011000111110…
…01111101001001001001
310202011111102200000121211
433121203321331021021
5114314232422414344
62130051534533121
7136312061236201
oct17314371751111
93664442600554
101058238091849
113788838a6314
121511159671a1
1378a399b1b13
143930ccdb401
151c7d9487334
hexf663e7d249

1058238091849 has 9 divisors (see below), whose sum is σ = 1061030137671. Its totient is φ = 1055453382000.

The previous prime is 1058238091811. The next prime is 1058238091913. The reversal of 1058238091849 is 9481908328501.

The square root of 1058238091849 is 1028707.

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., 915227055625 + 143011036224 = 956675^2 + 378168^2 .

It is not a de Polignac number, because 1058238091849 - 229 = 1057701220937 is a prime.

It is a super-2 number, since 2×10582380918492 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1058238091793 and 1058238091802.

It is not an unprimeable number, because it can be changed into a prime (1058238091349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 470117974 + ... + 470120224.

It is an arithmetic number, because the mean of its divisors is an integer number (117892237519).

Almost surely, 21058238091849 is an apocalyptic number.

1058238091849 is the 1028707-th square number.

1058238091849 is the 514354-th centered octagonal number.

It is an amenable number.

1058238091849 is a deficient number, since it is larger than the sum of its proper divisors (2792045822).

1058238091849 is an frugal number, since it uses more digits than its factorization.

1058238091849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 1058238091849 in words is "one trillion, fifty-eight billion, two hundred thirty-eight million, ninety-one thousand, eight hundred forty-nine".

Divisors: 1 457 2251 208849 1028707 5067001 470119099 2315619457 1058238091849