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58071502057156 = 2272157234672
BaseRepresentation
bin11010011010000110100110…
…10000000110111011000100
321121121120200211021111221021
431031003103100012323010
530102420414011312111
6323301402454400524
715142345646043400
oct1515032320067304
9247546624244837
1058071502057156
1117559a92a99145
12661a790660144
1326531719c41a3
14104a96617a100
156aa88ded9d71
hex34d0d3406ec4

58071502057156 has 81 divisors (see below), whose sum is σ = 119009083021101. Its totient is φ = 24722132906016.

The previous prime is 58071502057139. The next prime is 58071502057181. The reversal of 58071502057156 is 65175020517085.

The square root of 58071502057156 is 7620466.

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., 17021648032900 + 41049854024256 = 4125730^2 + 6407016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16749782535 + ... + 16749786001.

Almost surely, 258071502057156 is an apocalyptic number.

58071502057156 is the 7620466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58071502057156

58071502057156 is an abundant number, since it is smaller than the sum of its proper divisors (60937580963945).

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

58071502057156 is an frugal number, since it uses more digits than its factorization.

58071502057156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 2940000, while the sum is 52.

The spelling of 58071502057156 in words is "fifty-eight trillion, seventy-one billion, five hundred two million, fifty-seven thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 98 157 196 314 628 1099 2198 3467 4396 6934 7693 13868 15386 24269 24649 30772 48538 49298 97076 98596 169883 172543 339766 345086 544319 679532 690172 1088638 1207801 2177276 2415602 3810233 4831204 7620466 12020089 15240932 24040178 26671631 48080356 53343262 84140623 85458083 106686524 168281246 170916166 336562492 341832332 588984361 598206581 1177968722 1196413162 1887153973 2355937444 2392826324 3774307946 4187446067 7548615892 8374892134 13210077811 16749784268 26420155622 52840311244 92470544677 184941089354 296283173761 369882178708 592566347522 1185132695044 2073982216327 4147964432654 8295928865308 14517875514289 29035751028578 58071502057156