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18966877866981 = 3211836271368083
BaseRepresentation
bin1000101000000000100100…
…00001001000101111100101
32111011012211022220101110100
410110000102001020233211
54441223131213220411
6104201132521214313
73665211625544232
oct424002201105745
974135738811410
1018966877866981
1160528980aa3a0
122163aa9031399
13a77751b78b25
14498004c90789
1522d58a879456
hex114012048be5

18966877866981 has 48 divisors (see below), whose sum is σ = 30252193800192. Its totient is φ = 11354740768800.

The previous prime is 18966877866971. The next prime is 18966877867013.

18966877866981 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 18966877866981 - 25 = 18966877866949 is a prime.

It is a super-2 number, since 2×189668778669812 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18966877866891 and 18966877866900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18966877866961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51344766 + ... + 51712848.

It is an arithmetic number, because the mean of its divisors is an integer number (630254037504).

Almost surely, 218966877866981 is an apocalyptic number.

18966877866981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18966877866981 is a deficient number, since it is larger than the sum of its proper divisors (11285315933211).

18966877866981 is a wasteful number, since it uses less digits than its factorization.

18966877866981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374454 (or 374451 counting only the distinct ones).

The product of its digits is 21069103104, while the sum is 90.

The spelling of 18966877866981 in words is "eighteen trillion, nine hundred sixty-six billion, eight hundred seventy-seven million, eight hundred sixty-six thousand, nine hundred eighty-one".

Divisors: 1 3 9 11 33 83 99 249 747 913 2739 6271 8217 18813 56439 68981 206943 368083 520493 620829 1104249 1561479 3312747 4048913 4684437 5725423 12146739 17176269 30550889 36440217 51528807 91652667 274958001 336059779 1008179337 2308248493 3024538011 6924745479 20774236437 25390733423 76172200269 191584624919 228516600807 574753874757 1724261624271 2107430874109 6322292622327 18966877866981