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18568092883041 = 3213231323532
BaseRepresentation
bin1000011100011001110001…
…00101001001100001100001
32102202002111022121020011100
410032030320211021201201
54413204423234224131
6103254021503105013
73624333436242132
oct416147045114141
972662438536140
1018568092883041
115a097583aa5a9
1220ba7548a2169
13a48c6b18ba00
144829b4209c89
15222eea9857e6
hex10e338949861

18568092883041 has 81 divisors (see below), whose sum is σ = 29218255960491. Its totient is φ = 11357745924096.

The previous prime is 18568092883013. The next prime is 18568092883073. The reversal of 18568092883041 is 14038829086581.

The square root of 18568092883041 is 4309071.

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

18568092883041 is a `hidden beast` number, since 1 + 8 + 568 + 0 + 9 + 28 + 8 + 3 + 0 + 41 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 15686233542225 + 2881859340816 = 3960585^2 + 1697604^2 .

It is not a de Polignac number, because 18568092883041 - 25 = 18568092883009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 18568092883041.

It is not an unprimeable number, because it can be changed into a prime (18568092883001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52600829521 + ... + 52600829873.

Almost surely, 218568092883041 is an apocalyptic number.

18568092883041 is the 4309071-st square number.

18568092883041 is the 2154536-th centered octagonal number.

It is an amenable number.

18568092883041 is a deficient number, since it is larger than the sum of its proper divisors (10650163077450).

18568092883041 is an frugal number, since it uses more digits than its factorization.

18568092883041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 18568092883041 in words is "eighteen trillion, five hundred sixty-eight billion, ninety-two million, eight hundred eighty-three thousand, forty-one".

Divisors: 1 3 9 13 39 117 169 313 353 507 939 1059 1521 2817 3177 4069 4589 12207 13767 36621 41301 52897 59657 97969 110489 124609 158691 178971 293907 331467 373827 476073 536913 881721 994401 1121481 1273597 1436357 1619917 3820791 4309071 4859751 11462373 12927213 14579253 16556761 18672641 21058921 34583057 39002617 49670283 56017923 63176763 103749171 117007851 149010849 168053769 189530289 311247513 351023553 449579741 507034021 1348739223 1521102063 4046217669 4563306189 5844536633 6591442273 12207819121 17533609899 19774326819 36623457363 52600829697 59322980457 109870372089 158701648573 476104945719 1428314837157 2063121431449 6189364294347 18568092883041