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16838400000069 = 3319298053140549
BaseRepresentation
bin1111010100000111111011…
…0110011100000001000101
32012121201212001021122221000
43311001332312130001011
54201340020400000234
655451242033443513
73355351151311464
oct365017666340105
965551761248830
1016838400000069
11540214190760a
121a7b48a110599
13951b14bb14cb
14422da915a9db
151e30134a5899
hexf507ed9c045

16838400000069 has 64 divisors (see below), whose sum is σ = 27167752800000. Its totient is φ = 10266714323712.

The previous prime is 16838400000013. The next prime is 16838400000139. The reversal of 16838400000069 is 96000000483861.

16838400000069 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16838400000069 - 213 = 16838399991877 is a prime.

It is a super-2 number, since 2×168384000000692 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16838400000769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119734207 + ... + 119874755.

It is an arithmetic number, because the mean of its divisors is an integer number (424496137500).

Almost surely, 216838400000069 is an apocalyptic number.

16838400000069 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

16838400000069 is a deficient number, since it is larger than the sum of its proper divisors (10329352799931).

16838400000069 is a wasteful number, since it uses less digits than its factorization.

16838400000069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148659 (or 148653 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16838400000069 in words is "sixteen trillion, eight hundred thirty-eight billion, four hundred million, sixty-nine", and thus it is an aban number.

Divisors: 1 3 9 19 27 29 57 87 171 261 513 551 783 1653 4959 8053 14877 24159 72477 140549 153007 217431 233537 421647 459021 700611 1264941 1377063 2101833 2670431 3794823 4075921 4131189 4437203 6305499 8011293 12227763 13311609 24033879 36683289 39934827 72101637 77442499 110049867 119804481 232327497 696982491 1131841097 2090947473 3395523291 10186569873 21504980843 30559709619 32823391813 64514942529 98470175439 193544827587 295410526317 580634482761 623644444447 886231578951 1870933333341 5612800000023 16838400000069