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18012622621081 = 112293508070477
BaseRepresentation
bin1000001100001111000111…
…11110010000100110011001
32100202222201122022020121011
410012013203332100212121
54330104322342333311
6102150515023413521
73536240403023224
oct406074376204631
970688648266534
1018012622621081
115815123977300
12202ab72a542a1
13a08776ba022a
14463b5bd805bb
1521383a114321
hex1061e3f90999

18012622621081 has 12 divisors (see below), whose sum is σ = 19866571830756. Its totient is φ = 16319223689120.

The previous prime is 18012622621079. The next prime is 18012622621139.

18012622621081 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 17523567165456 + 489055455625 = 4186116^2 + 699325^2 .

It is not a de Polignac number, because 18012622621081 - 21 = 18012622621079 is a prime.

It is a super-3 number, since 3×180126226210813 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18012622621781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253999786 + ... + 254070691.

It is an arithmetic number, because the mean of its divisors is an integer number (1655547652563).

Almost surely, 218012622621081 is an apocalyptic number.

18012622621081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18012622621081 is a deficient number, since it is larger than the sum of its proper divisors (1853949209675).

18012622621081 is a wasteful number, since it uses less digits than its factorization.

18012622621081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508070792 (or 508070781 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 18012622621081 in words is "eighteen trillion, twelve billion, six hundred twenty-two million, six hundred twenty-one thousand, eighty-one".

Divisors: 1 11 121 293 3223 35453 508070477 5588775247 61476527717 148864649761 1637511147371 18012622621081