Search a number
-
+
13346655400 = 23521315793251
BaseRepresentation
bin11000110111000010…
…11100110010101000
31021110011002100021101
430123201130302220
5204313220433100
610044213051144
7651512461531
oct143341346250
937404070241
1013346655400
115729925821
122705926ab4
131349156740
14908805688
15531ac986a
hex31b85cca8

13346655400 has 96 divisors (see below), whose sum is σ = 33449421600. Its totient is φ = 4923360000.

The previous prime is 13346655397. The next prime is 13346655419. The reversal of 13346655400 is 455664331.

It is a self number, because there is not a number n which added to its sum of digits gives 13346655400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4103775 + ... + 4107025.

It is an arithmetic number, because the mean of its divisors is an integer number (348431475).

Almost surely, 213346655400 is an apocalyptic number.

13346655400 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 13346655400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16724710800).

13346655400 is an abundant number, since it is smaller than the sum of its proper divisors (20102766200).

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

13346655400 is a wasteful number, since it uses less digits than its factorization.

13346655400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

It can be divided in two parts, 13346 and 655400, that added together give a triangular number (668746 = T1156).

The spelling of 13346655400 in words is "thirteen billion, three hundred forty-six million, six hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1579 2600 3158 3251 6316 6502 7895 12632 13004 15790 16255 20527 26008 31580 32510 39475 41054 42263 63160 65020 78950 81275 82108 84526 102635 130040 157900 162550 164216 169052 205270 211315 315800 325100 338104 410540 422630 513175 650200 821080 845260 1026350 1056575 1690520 2052700 2113150 4105400 4226300 5133329 8452600 10266658 20533316 25666645 41066632 51333290 66733277 102666580 128333225 133466554 205333160 256666450 266933108 333666385 513332900 533866216 667332770 1026665800 1334665540 1668331925 2669331080 3336663850 6673327700 13346655400