Search a number
-
+
13038395392 = 21311257563
BaseRepresentation
bin11000010010010011…
…00010000000000000
31020122200001010001001
430021021202000000
5203200312123032
65553442021344
7641050350361
oct141111420000
936580033031
1013038395392
11559091a490
12263a647854
1312ca326079
148b98c1b68
155149d83e7
hex309262000

13038395392 has 112 divisors (see below), whose sum is σ = 28607077152. Its totient is φ = 5892997120.

The previous prime is 13038395387. The next prime is 13038395413. The reversal of 13038395392 is 29359383031.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23158503 + ... + 23159065.

Almost surely, 213038395392 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 13038395392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303538576).

13038395392 is an abundant number, since it is smaller than the sum of its proper divisors (15568681760).

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

13038395392 is an equidigital number, since it uses as much as digits as its factorization.

13038395392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 46.

The spelling of 13038395392 in words is "thirteen billion, thirty-eight million, three hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 257 352 512 514 563 704 1024 1028 1126 1408 2048 2056 2252 2816 2827 4096 4112 4504 5632 5654 6193 8192 8224 9008 11264 11308 12386 16448 18016 22528 22616 24772 32896 36032 45056 45232 49544 65792 72064 90112 90464 99088 131584 144128 144691 180928 198176 263168 288256 289382 361856 396352 526336 576512 578764 723712 792704 1052672 1153024 1157528 1447424 1585408 1591601 2105344 2306048 2315056 2894848 3170816 3183202 4612096 4630112 5789696 6341632 6366404 9260224 11579392 12683264 12732808 18520448 23158784 25366528 25465616 37040896 50733056 50931232 74081792 101862464 148163584 203724928 296327168 407449856 592654336 814899712 1185308672 1629799424 3259598848 6519197696 13038395392