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13243303872 = 263324233163
BaseRepresentation
bin11000101010101110…
…01100011111000000
31021011221121112122000
430111113030133000
5204110241210442
610030041544000
7646116140241
oct142527143700
937157545560
1013243303872
115686555237
1226971a5000
13133090b5a6
148d8bc0cc8
155279b1d4c
hex3155cc7c0

13243303872 has 112 divisors (see below), whose sum is σ = 38961242880. Its totient is φ = 4411217664.

The previous prime is 13243303861. The next prime is 13243303877. The reversal of 13243303872 is 27830334231.

13243303872 is a `hidden beast` number, since 1 + 3 + 243 + 30 + 387 + 2 = 666.

It is a super-2 number, since 2×132433038722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13243303877) 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, 4185363 + ... + 4188525.

It is an arithmetic number, because the mean of its divisors is an integer number (347868240).

Almost surely, 213243303872 is an apocalyptic number.

13243303872 is a gapful number since it is divisible by the number (12) 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 13243303872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19480621440).

13243303872 is an abundant number, since it is smaller than the sum of its proper divisors (25717939008).

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

13243303872 is a wasteful number, since it uses less digits than its factorization.

13243303872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13243303872 in words is "thirteen billion, two hundred forty-three million, three hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2423 3163 4846 6326 7269 9489 9692 12652 14538 18978 19384 21807 25304 28467 29076 37956 38768 43614 50608 56934 58152 65421 75912 77536 85401 87228 101216 113868 116304 130842 151824 155072 170802 174456 202432 227736 232608 261684 303648 341604 348912 455472 465216 523368 607296 683208 697824 910944 1046736 1366416 1395648 1821888 2093472 2732832 4186944 5465664 7663949 15327898 22991847 30655796 45983694 61311592 68975541 91967388 122623184 137951082 183934776 206926623 245246368 275902164 367869552 413853246 490492736 551804328 735739104 827706492 1103608656 1471478208 1655412984 2207217312 3310825968 4414434624 6621651936 13243303872