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18893888839881 = 32111953613106897
BaseRepresentation
bin1000100101111000100111…
…00010000110000011001001
32110220020102121011122020100
410102330103202012003021
54434024141020334011
6104103422133120013
73660016115212656
oct422742342060311
973806377148210
1018893888839881
116024942761aa0
122151919189009
13a708bc3bc5b3
1449467d2cac2d
1522b717b40d56
hex112f138860c9

18893888839881 has 96 divisors (see below), whose sum is σ = 32453910852480. Its totient is φ = 10468996761600.

The previous prime is 18893888839751. The next prime is 18893888839921.

It is a happy number.

18893888839881 is a `hidden beast` number, since 188 + 9 + 38 + 8 + 8 + 8 + 398 + 8 + 1 = 666.

18893888839881 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18893888839881 - 29 = 18893888839369 is a prime.

It is a super-2 number, since 2×188938888398812 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18893888839791 and 18893888839800.

It is not an unprimeable number, because it can be changed into a prime (18893888834881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4527825 + ... + 7634721.

It is an arithmetic number, because the mean of its divisors is an integer number (338061571380).

Almost surely, 218893888839881 is an apocalyptic number.

18893888839881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18893888839881 is a deficient number, since it is larger than the sum of its proper divisors (13560022012599).

18893888839881 is a wasteful number, since it uses less digits than its factorization.

18893888839881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107047 (or 3107044 counting only the distinct ones).

The product of its digits is 12230590464, while the sum is 90.

The spelling of 18893888839881 in words is "eighteen trillion, eight hundred ninety-three billion, eight hundred eighty-eight million, eight hundred thirty-nine thousand, eight hundred eighty-one".

Divisors: 1 3 9 11 19 33 53 57 61 99 159 171 183 209 477 549 583 627 671 1007 1159 1749 1881 2013 3021 3233 3477 5247 6039 9063 9699 10431 11077 12749 29097 33231 35563 38247 61427 99693 106689 114741 184281 320067 552843 675697 2027091 3106897 6081273 9320691 27962073 34175867 59031043 102527601 164665541 177093129 189520717 307582803 493996623 531279387 568562151 649341473 1481989869 1705686453 1811320951 1948024419 2084727887 3128645279 3600893623 5433962853 5844073257 6254183661 9385935837 10044598001 10802680869 16301888559 18762550983 28157807511 30133794003 32408042607 34415098069 39609829853 90401382009 103245294207 110490578011 118829489559 190847362019 309735882621 331471734033 356488468677 572542086057 994415202099 1717626258171 2099320982209 6297962946627 18893888839881