Search a number
-
+
11734466443711 = 1117975091270961
BaseRepresentation
bin1010101011000010010010…
…1101000011100110111111
31112112210201010211211100121
42222300210231003212333
53014224141402144321
640542423420235411
72320534006016434
oct252604455034677
945483633754317
1011734466443711
113814617432930
12139627509bb67
1367172b3b0c8b
142c7d46177b8b
1515539154b441
hexaac24b439bf

11734466443711 has 32 divisors (see below), whose sum is σ = 13720899044160. Its totient is φ = 9917148364800.

The previous prime is 11734466443699. The next prime is 11734466443727.

11734466443711 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11734466443711 - 225 = 11734432889279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11734466444711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8597271 + ... + 9868231.

It is an arithmetic number, because the mean of its divisors is an integer number (428778095130).

Almost surely, 211734466443711 is an apocalyptic number.

11734466443711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11734466443711 is a deficient number, since it is larger than the sum of its proper divisors (1986432600449).

11734466443711 is a wasteful number, since it uses less digits than its factorization.

11734466443711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271595.

The product of its digits is 4064256, while the sum is 52.

The spelling of 11734466443711 in words is "eleven trillion, seven hundred thirty-four billion, four hundred sixty-six million, four hundred forty-three thousand, seven hundred eleven".

Divisors: 1 11 17 97 187 509 1067 1649 5599 8653 18139 49373 95183 543103 839341 1270961 9232751 13980571 21606337 123283217 237669707 646919149 1356115387 2095814689 7116110639 10997625533 23053961579 62751157453 120973880863 690262731983 1066769676701 11734466443711