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13668200200 = 23521572112063
BaseRepresentation
bin11001011101011000…
…00010111100001000
31022021120010111211001
430232230002330020
5210443024401300
610140140544344
7662465533114
oct145654027410
938246114731
1013668200200
115884385126
1227955520b4
13139a958b35
149393c6744
1554ee4216a
hex32eb02f08

13668200200 has 96 divisors (see below), whose sum is σ = 32148120960. Its totient is φ = 5404089600.

The previous prime is 13668200197. The next prime is 13668200201. The reversal of 13668200200 is 200286631.

It is not an unprimeable number, because it can be changed into a prime (13668200201) 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, 6624369 + ... + 6626431.

It is an arithmetic number, because the mean of its divisors is an integer number (334876260).

Almost surely, 213668200200 is an apocalyptic number.

13668200200 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 13668200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074060480).

13668200200 is an abundant number, since it is smaller than the sum of its proper divisors (18479920760).

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

13668200200 is a wasteful number, since it uses less digits than its factorization.

13668200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13668200200 its reverse (200286631), we get a palindrome (13868486831).

The spelling of 13668200200 in words is "thirteen billion, six hundred sixty-eight million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 211 314 422 628 785 844 1055 1256 1570 1688 2063 2110 3140 3925 4126 4220 5275 6280 7850 8252 8440 10315 10550 15700 16504 20630 21100 31400 33127 41260 42200 51575 66254 82520 103150 132508 165635 206300 265016 323891 331270 412600 435293 647782 662540 828175 870586 1295564 1325080 1619455 1656350 1741172 2176465 2591128 3238910 3312700 3482344 4352930 6477820 6625400 8097275 8705860 10882325 12955640 16194550 17411720 21764650 32389100 43529300 64778200 68341001 87058600 136682002 273364004 341705005 546728008 683410010 1366820020 1708525025 2733640040 3417050050 6834100100 13668200200