Search a number
-
+
13589185920 = 273511296269
BaseRepresentation
bin11001010011111101…
…01000010110000000
31022002001110011121020
430221332220112000
5210312312422140
610124235225440
7660516113562
oct145176502600
938061404536
1013589185920
115843817572
122772ba8280
13138748231b
1492cad9332
155480356d0
hex329fa8580

13589185920 has 128 divisors (see below), whose sum is σ = 43360812000. Its totient is φ = 3619995648.

The previous prime is 13589185891. The next prime is 13589185927. The reversal of 13589185920 is 2958198531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13589185927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2164546 + ... + 2170814.

Almost surely, 213589185920 is an apocalyptic number.

13589185920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13589185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21680406000).

13589185920 is an abundant number, since it is smaller than the sum of its proper divisors (29771626080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13589185920 is a wasteful number, since it uses less digits than its factorization.

13589185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7420 (or 7408 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 13589185920 in words is "thirteen billion, five hundred eighty-nine million, one hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1129 1920 2258 3387 4516 5645 6269 6774 9032 11290 12538 13548 16935 18064 18807 22580 25076 27096 31345 33870 36128 37614 45160 50152 54192 62690 67740 72256 75228 90320 94035 100304 108384 125380 135480 144512 150456 180640 188070 200608 216768 250760 270960 300912 361280 376140 401216 433536 501520 541920 601824 722560 752280 802432 1003040 1083840 1203648 1504560 2006080 2167680 2407296 3009120 4012160 6018240 7077701 12036480 14155402 21233103 28310804 35388505 42466206 56621608 70777010 84932412 106165515 113243216 141554020 169864824 212331030 226486432 283108040 339729648 424662060 452972864 566216080 679459296 849324120 905945728 1132432160 1358918592 1698648240 2264864320 2717837184 3397296480 4529728640 6794592960 13589185920