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58404872241 = 32805572
BaseRepresentation
bin110110011001001100…
…111010000000110001
312120202100001220211100
4312121030322000301
51424103121402431
642455243035013
74135220136312
oct663114720061
9176670056740
1058404872241
1122851033a61
12b39b80ba69
13567a13c001
142b80aaa609
1517bc6b74e6
hexd9933a031

58404872241 has 9 divisors (see below), whose sum is σ = 84363640491. Its totient is φ = 38936098152.

The previous prime is 58404872231. The next prime is 58404872261. The reversal of 58404872241 is 14227840485.

The square root of 58404872241 is 241671.

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

58404872241 is a `hidden beast` number, since 584 + 0 + 4 + 8 + 7 + 22 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33439608225 + 24965264016 = 182865^2 + 158004^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 58404872241 - 29 = 58404871729 is a prime.

It is a super-2 number, since 2×584048722412 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58404872221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 684735 + ... + 765291.

Almost surely, 258404872241 is an apocalyptic number.

58404872241 is the 241671-st square number.

58404872241 is the 120836-th centered octagonal number.

It is an amenable number.

58404872241 is a deficient number, since it is larger than the sum of its proper divisors (25958768250).

58404872241 is an frugal number, since it uses more digits than its factorization.

58404872241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161120 (or 80560 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 58404872241 in words is "fifty-eight billion, four hundred four million, eight hundred seventy-two thousand, two hundred forty-one".

Divisors: 1 3 9 80557 241671 725013 6489430249 19468290747 58404872241