Search a number
-
+
53952597398889 = 3474159239164587
BaseRepresentation
bin11000100010001110100010…
…11001110001010101101001
321002000211002021111022220000
430101013101121301111221
524032424404413231024
6310425251525053213
714235642442110060
oct1421072131612551
9232024067438800
1053952597398889
1116211193765962
12607445b857209
1324149289209c7
14d4746917d1d7
1563866e2decc9
hex3111d1671569

53952597398889 has 160 divisors (see below), whose sum is σ = 96357452083200. Its totient is φ = 29444409066240.

The previous prime is 53952597398873. The next prime is 53952597398897. The reversal of 53952597398889 is 98889379525935.

53952597398889 is a `hidden beast` number, since 5 + 3 + 9 + 5 + 2 + 597 + 3 + 9 + 8 + 8 + 8 + 9 = 666.

It is not a de Polignac number, because 53952597398889 - 24 = 53952597398873 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 53952597398799 and 53952597398808.

It is not an unprimeable number, because it can be changed into a prime (53952597398899) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 327723654 + ... + 327888240.

It is an arithmetic number, because the mean of its divisors is an integer number (602234075520).

Almost surely, 253952597398889 is an apocalyptic number.

53952597398889 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

It is an amenable number.

53952597398889 is a deficient number, since it is larger than the sum of its proper divisors (42404854684311).

53952597398889 is a wasteful number, since it uses less digits than its factorization.

53952597398889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164945 (or 164936 counting only the distinct ones).

The product of its digits is 52907904000, while the sum is 90.

The spelling of 53952597398889 in words is "fifty-three trillion, nine hundred fifty-two billion, five hundred ninety-seven million, three hundred ninety-eight thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 21 27 41 59 63 81 123 177 189 239 287 369 413 531 567 717 861 1107 1239 1593 1673 2151 2419 2583 3321 3717 4779 5019 6453 7257 7749 9799 11151 14101 15057 16933 19359 21771 23247 29397 33453 42303 45171 50799 65313 68593 88191 98707 126909 135513 152397 164587 195939 205779 264573 296121 380727 457191 493761 578141 617337 793719 888363 1142181 1152109 1371573 1481283 1734423 1852011 2665089 3456327 4046987 4443849 5203269 5556033 6748067 7995267 9710633 10368981 12140961 13331547 15609807 20244201 29131899 31106943 36422883 39336293 46829421 47236469 60732603 67974431 87395697 93320829 109268649 118008879 141709407 182197809 203923293 262187091 275354051 327805947 354026637 398135953 425128221 546593427 611769879 786561273 826062153 1062079911 1194407859 1275384663 1612788013 1835309637 2320841287 2478186459 2786951671 3186239733 3583223577 3826153989 4838364039 5505928911 6962523861 7434559377 8360855013 10749670731 11289516091 14515092117 16245889009 20887571583 22303678131 25082565039 32249012193 33868548273 43545276351 48737667027 62662714749 75247695117 95154492767 101605644819 130635829053 146213001081 187988144247 225743085351 285463478301 304816934457 438639003243 666081449369 856390434903 914450803371 1315917009729 1998244348107 2569171304709 5994733044321 7707513914127 17984199132963 53952597398889