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58364244246385 = 5711316180166811
BaseRepresentation
bin11010100010100111111000…
…00010111011111101110001
321122122120022112100120000001
431101103330002323331301
530122214433011341020
6324044055203430001
715202451244433630
oct1521237402737561
9248576275316001
1058364244246385
1117662156362820
12666746b385301
132674955ca11bc
14105abb7411517
156b32c440650a
hex3514fc0bbf71

58364244246385 has 64 divisors (see below), whose sum is σ = 91613350084608. Its totient is φ = 34632061920000.

The previous prime is 58364244246349. The next prime is 58364244246397.

58364244246385 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58364244246385 - 211 = 58364244244337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39355371 + ... + 40811440.

It is an arithmetic number, because the mean of its divisors is an integer number (1431458595072).

Almost surely, 258364244246385 is an apocalyptic number.

58364244246385 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58364244246385 is a deficient number, since it is larger than the sum of its proper divisors (33249105838223).

58364244246385 is a wasteful number, since it uses less digits than its factorization.

58364244246385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80166926.

The product of its digits is 530841600, while the sum is 64.

The spelling of 58364244246385 in words is "fifty-eight trillion, three hundred sixty-four billion, two hundred forty-four million, two hundred forty-six thousand, three hundred eighty-five".

Divisors: 1 5 7 11 31 35 55 61 77 155 217 305 341 385 427 671 1085 1705 1891 2135 2387 3355 4697 9455 11935 13237 20801 23485 66185 104005 145607 728035 80166811 400834055 561167677 881834921 2485171141 2805838385 4409174605 4890175471 6172844447 12425855705 17396197987 24450877355 27336882551 30864222235 34231228297 53791930181 86980989935 136684412755 151595439601 171156141485 191358177857 268959650905 376543511267 757977198005 956790889285 1061168077207 1667549835611 1882717556335 5305840386035 8337749178055 11672848849277 58364244246385