Search a number
-
+
17681418614431 = 1113313988589807
BaseRepresentation
bin1000000010100110001101…
…01011001111011010011111
32022121022211110112102212001
410001103012223033122133
54304143021131130211
6101334422004223131
73503304015305335
oct401230653173237
968538743472761
1017681418614431
1156a7713943a60
121b9693b39aaa7
139b3473411480
14451adc93db55
15209e0329dac1
hex1014c6acf69f

17681418614431 has 16 divisors (see below), whose sum is σ = 21442658807808. Its totient is φ = 14358923301600.

The previous prime is 17681418614417. The next prime is 17681418614441. The reversal of 17681418614431 is 13441681418671.

It is a cyclic number.

It is not a de Polignac number, because 17681418614431 - 215 = 17681418581663 is a prime.

It is a super-2 number, since 2×176814186144312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17681418614441) 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 15 ways as a sum of consecutive naturals, for example, 1994290471 + ... + 1994299336.

It is an arithmetic number, because the mean of its divisors is an integer number (1340166175488).

Almost surely, 217681418614431 is an apocalyptic number.

17681418614431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

17681418614431 is a deficient number, since it is larger than the sum of its proper divisors (3761240193377).

17681418614431 is a wasteful number, since it uses less digits than its factorization.

17681418614431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988589862.

The product of its digits is 3096576, while the sum is 55.

The spelling of 17681418614431 in words is "seventeen trillion, six hundred eighty-one billion, four hundred eighteen million, six hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 11 13 31 143 341 403 4433 3988589807 43874487877 51851667491 123646284017 570368342401 1360109124187 1607401692221 17681418614431