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13604280200 = 2352712138011
BaseRepresentation
bin11001010101110000…
…01101011110001000
31022010002212001001122
430222320031132020
5210330143431300
610125534534412
7661061321330
oct145270153610
938102761048
1013604280200
115851297085
122778067408
13138a638854
14930b080c0
15549517c85
hex32ae0d788

13604280200 has 96 divisors (see below), whose sum is σ = 36182832960. Its totient is φ = 4659897600.

The previous prime is 13604280197. The next prime is 13604280203. The reversal of 13604280200 is 208240631.

It is an interprime number because it is at equal distance from previous prime (13604280197) and next prime (13604280203).

It is a super-2 number, since 2×136042802002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13604280200.

It is not an unprimeable number, because it can be changed into a prime (13604280203) 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, 1694195 + ... + 1702205.

It is an arithmetic number, because the mean of its divisors is an integer number (376904510).

Almost surely, 213604280200 is an apocalyptic number.

13604280200 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 13604280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18091416480).

13604280200 is an abundant number, since it is smaller than the sum of its proper divisors (22578552760).

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

13604280200 is a wasteful number, since it uses less digits than its factorization.

13604280200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 13604280200 in words is "thirteen billion, six hundred four million, two hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1213 1400 2426 4852 6065 8011 8491 9704 12130 16022 16982 24260 30325 32044 33964 40055 42455 48520 56077 60650 64088 67928 80110 84910 112154 121300 160220 169820 200275 212275 224308 242600 280385 320440 339640 400550 424550 448616 560770 801100 849100 1121540 1401925 1602200 1698200 2243080 2803850 5607700 9717343 11215400 19434686 38869372 48586715 68021401 77738744 97173430 136042802 194346860 242933575 272085604 340107005 388693720 485867150 544171208 680214010 971734300 1360428020 1700535025 1943468600 2720856040 3401070050 6802140100 13604280200