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13027488288 = 2532412632141
BaseRepresentation
bin11000010000111111…
…11011001000100000
31020121220111222022020
430020133323020200
5203140014111123
65552412141440
7640555552263
oct141037731040
936556458266
1013027488288
11558574a851
122636a67880
1312c7ca7669
148b8282cda
15513a817e3
hex3087fb220

13027488288 has 96 divisors (see below), whose sum is σ = 34485720192. Its totient is φ = 4306022400.

The previous prime is 13027488281. The next prime is 13027488337. The reversal of 13027488288 is 88288472031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13027488288.

It is not an unprimeable number, because it can be changed into a prime (13027488281) 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, 6083698 + ... + 6085838.

It is an arithmetic number, because the mean of its divisors is an integer number (359226252).

Almost surely, 213027488288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13027488288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17242860096).

13027488288 is an abundant number, since it is smaller than the sum of its proper divisors (21458231904).

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

13027488288 is a wasteful number, since it uses less digits than its factorization.

13027488288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 13027488288 in words is "thirteen billion, twenty-seven million, four hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 263 482 526 723 789 964 1052 1446 1578 1928 2104 2141 2892 3156 3856 4208 4282 5784 6312 6423 7712 8416 8564 11568 12624 12846 17128 23136 25248 25692 34256 51384 63383 68512 102768 126766 190149 205536 253532 380298 507064 515981 563083 760596 1014128 1031962 1126166 1521192 1547943 1689249 2028256 2063924 2252332 3042384 3095886 3378498 4127848 4504664 6084768 6191772 6756996 8255696 9009328 12383544 13513992 16511392 18018656 24767088 27027984 49534176 54055968 135703003 271406006 407109009 542812012 814218018 1085624024 1628436036 2171248048 3256872072 4342496096 6513744144 13027488288