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13004055600 = 2435213182723
BaseRepresentation
bin11000001110001101…
…00010010000110000
31020120021102110200220
430013012202100300
5203113014234400
65550214013040
7640152435354
oct140706422060
936507373626
1013004055600
1155734a5498
12262b047180
1312c3191973
148b5103464
155119a37a0
hex3071a2430

13004055600 has 120 divisors (see below), whose sum is σ = 41974819392. Its totient is φ = 3441235200.

The previous prime is 13004055569. The next prime is 13004055607. The reversal of 13004055600 is 655040031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13004055607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115839 + ... + 198561.

Almost surely, 213004055600 is an apocalyptic number.

13004055600 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 13004055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20987409696).

13004055600 is an abundant number, since it is smaller than the sum of its proper divisors (28970763792).

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

13004055600 is a wasteful number, since it uses less digits than its factorization.

13004055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82875 (or 82864 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 13004055600 its reverse (655040031), we get a palindrome (13659095631).

The spelling of 13004055600 in words is "thirteen billion, four million, fifty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 131 150 200 240 262 300 393 400 524 600 655 786 1048 1200 1310 1572 1965 2096 2620 3144 3275 3930 5240 6288 6550 7860 9825 10480 13100 15720 19650 26200 31440 39300 52400 78600 82723 157200 165446 248169 330892 413615 496338 661784 827230 992676 1240845 1323568 1654460 1985352 2068075 2481690 3308920 3970704 4136150 4963380 6204225 6617840 8272300 9926760 10836713 12408450 16544600 19853520 21673426 24816900 32510139 33089200 43346852 49633800 54183565 65020278 86693704 99267600 108367130 130040556 162550695 173387408 216734260 260081112 270917825 325101390 433468520 520162224 541835650 650202780 812753475 866937040 1083671300 1300405560 1625506950 2167342600 2600811120 3251013900 4334685200 6502027800 13004055600