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18110480320881 = 34132363732
BaseRepresentation
bin1000001111000101011001…
…01111110000100101110001
32101010100022111211110110000
410013202230233300211301
54333210230430232011
6102303501221500213
73546303404526444
oct407425457604561
971110274743400
1018110480320881
115852680002573
122045b23271669
13a14a70901300
144687a26a365b
1521616622d356
hex1078acbf0971

18110480320881 has 45 divisors (see below), whose sum is σ = 29295886570929. Its totient is φ = 11144604560544.

The previous prime is 18110480320871. The next prime is 18110480320901. The reversal of 18110480320881 is 18802308401181.

The square root of 18110480320881 is 4255641.

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

18110480320881 is a `hidden beast` number, since 1 + 81 + 10 + 480 + 3 + 2 + 0 + 8 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 803549095281 + 17306931225600 = 896409^2 + 4160160^2 .

It is not a de Polignac number, because 18110480320881 - 213 = 18110480312689 is a prime.

It is a super-2 number, since 2×181104803208812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18110480320871) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 497891811 + ... + 497928183.

Almost surely, 218110480320881 is an apocalyptic number.

18110480320881 is the 4255641-st square number.

18110480320881 is the 2127821-st centered octagonal number.

It is an amenable number.

18110480320881 is a deficient number, since it is larger than the sum of its proper divisors (11185406250048).

18110480320881 is an frugal number, since it uses more digits than its factorization.

18110480320881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72784 (or 36389 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 18110480320881 in words is "eighteen trillion, one hundred ten billion, four hundred eighty million, three hundred twenty thousand, eight hundred eighty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 13689 36373 109119 327357 472849 982071 1418547 2946213 4255641 6147037 12766923 18441111 38300769 55323333 165969999 497909997 1322995129 3968985387 11906956161 17198936677 35720868483 51596810031 107162605449 154790430093 223586176801 464371290279 670758530403 1393113870837 2012275591209 6036826773627 18110480320881