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58116151326025 = 5213217268992
BaseRepresentation
bin11010011011011001110001…
…00011100011010101001001
321121202211221111202101100001
431031230320203203111021
530104133334214413100
6323334105155243001
715145516256421052
oct1515547043432511
9247684844671301
1058116151326025
1117576a1537a751
1266273715a9461
132657439054400
14104cb9ddcb729
156abb03c47d6a
hex34db388e3549

58116151326025 has 81 divisors (see below), whose sum is σ = 82906084335711. Its totient is φ = 40386185249280.

The previous prime is 58116151326011. The next prime is 58116151326043. The reversal of 58116151326025 is 52062315161185.

The square root of 58116151326025 is 7623395.

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

58116151326025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 42324874143049 + 15791277182976 = 6505757^2 + 3973824^2 .

It is not a de Polignac number, because 58116151326025 - 29 = 58116151325513 is a prime.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 8423848026 + ... + 8423854924.

Almost surely, 258116151326025 is an apocalyptic number.

58116151326025 is the 7623395-th square number.

58116151326025 is the 3811698-th centered octagonal number.

It is an amenable number.

58116151326025 is a deficient number, since it is larger than the sum of its proper divisors (24789933009686).

58116151326025 is an frugal number, since it uses more digits than its factorization.

58116151326025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13868 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 46.

The spelling of 58116151326025 in words is "fifty-eight trillion, one hundred sixteen billion, one hundred fifty-one million, three hundred twenty-six thousand, twenty-five".

Divisors: 1 5 13 17 25 65 85 169 221 289 325 425 845 1105 1445 2873 3757 4225 5525 6899 7225 14365 18785 34495 48841 71825 89687 93925 117283 172475 244205 448435 586415 1165931 1221025 1524679 1993811 2242175 2932075 5829655 7623395 9969055 19820827 25919543 29148275 38116975 47596201 49845275 99104135 129597715 237981005 336954059 495520675 618750613 647988575 809135417 1189905025 1684770295 3093753065 4045677085 8043757969 8423851475 10518760421 13755302089 15468765325 20228385425 40218789845 52593802105 68776510445 136743885473 178818927157 201093949225 262969010525 343882552225 683719427365 894094635785 2324646053041 3418597136825 4470473178925 11623230265205 58116151326025