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13398584381 = 7132341193809
BaseRepresentation
bin11000111101001111…
…00010110000111101
31021120202210121102222
430132213202300331
5204420014200011
610053310055125
7653013042140
oct143647426075
937522717388
1013398584381
115756173836
12271b1aa4a5
131356b38b50
14911682057
15536435ddb
hex31e9e2c3d

13398584381 has 64 divisors (see below), whose sum is σ = 17740477440. Its totient is φ = 9829416960.

The previous prime is 13398584371. The next prime is 13398584383. The reversal of 13398584381 is 18348589331.

It is a cyclic number.

It is not a de Polignac number, because 13398584381 - 26 = 13398584317 is a prime.

It is a super-2 number, since 2×133985843812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13398584383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16561505 + ... + 16562313.

It is an arithmetic number, because the mean of its divisors is an integer number (277194960).

Almost surely, 213398584381 is an apocalyptic number.

It is an amenable number.

13398584381 is a deficient number, since it is larger than the sum of its proper divisors (4341893059).

13398584381 is a wasteful number, since it uses less digits than its factorization.

13398584381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086.

The product of its digits is 2488320, while the sum is 53.

The spelling of 13398584381 in words is "thirteen billion, three hundred ninety-eight million, five hundred eighty-four thousand, three hundred eighty-one".

Divisors: 1 7 13 23 41 91 161 193 287 299 533 809 943 1351 2093 2509 3731 4439 5663 6601 7913 10517 12259 17563 18607 31073 33169 55391 57707 73619 85813 102869 130249 156137 181999 232183 241891 403949 431197 720083 762887 1092959 1273993 1693237 2029781 2365987 3018379 3591151 5340209 6401617 9917531 14208467 16561909 25138057 44811319 46684963 69422717 83221021 147237191 326794741 582547147 1030660337 1914083483 13398584381