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18124266242181 = 3112348787489457
BaseRepresentation
bin1000001111011111000100…
…11100111000000010000101
32101011122220021110211020210
410013233202130320002011
54333421444124222211
6102314101205550033
73550302133113021
oct407574234700205
971148807424223
1018124266242181
115858504882260
122048730115319
13a16159a669a8
1446930d571381
152166c16759a6
hex107be2738085

18124266242181 has 32 divisors (see below), whose sum is σ = 27509387793408. Its totient is φ = 10506584183040.

The previous prime is 18124266242101. The next prime is 18124266242207.

18124266242181 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18124266242181 - 222 = 18124262047877 is a prime.

It is a super-2 number, since 2×181242662421812 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18124266242181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18124266242101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36784605 + ... + 37274061.

It is an arithmetic number, because the mean of its divisors is an integer number (859668368544).

Almost surely, 218124266242181 is an apocalyptic number.

18124266242181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18124266242181 is a deficient number, since it is larger than the sum of its proper divisors (9385121551227).

18124266242181 is a wasteful number, since it uses less digits than its factorization.

18124266242181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538281.

The product of its digits is 589824, while the sum is 48.

The spelling of 18124266242181 in words is "eighteen trillion, one hundred twenty-four billion, two hundred sixty-six million, two hundred forty-two thousand, one hundred eighty-one".

Divisors: 1 3 11 23 33 69 253 759 48787 146361 489457 536657 1122101 1468371 1609971 3366303 5384027 11257511 12343111 16152081 33772533 37029333 123832621 371497863 23879138659 71637415977 262670525249 549220189157 788011575747 1647660567471 6041422080727 18124266242181