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13255412400 = 2433521227353
BaseRepresentation
bin11000101100001010…
…11000101010110000
31021012210101201102000
430112011120222300
5204121341144100
610031153254000
7646324101126
oct142605305260
937183351360
1013255412400
11569237558a
12269b264300
13133328aab9
148da653916
15528aa4900
hex316158ab0

13255412400 has 120 divisors (see below), whose sum is σ = 47179487760. Its totient is φ = 3534773760.

The previous prime is 13255412383. The next prime is 13255412447. The reversal of 13255412400 is 421455231.

13255412400 is a `hidden beast` number, since 1 + 3 + 255 + 4 + 1 + 2 + 400 = 666.

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 (27).

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, 602877 + ... + 624476.

It is an arithmetic number, because the mean of its divisors is an integer number (393162398).

Almost surely, 213255412400 is an apocalyptic number.

13255412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13255412400 is an abundant number, since it is smaller than the sum of its proper divisors (33924075360).

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

13255412400 is a wasteful number, since it uses less digits than its factorization.

13255412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227380 (or 1227363 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 13255412400 its reverse (421455231), we get a palindrome (13676867631).

The spelling of 13255412400 in words is "thirteen billion, two hundred fifty-five million, four hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 135 144 150 180 200 216 225 240 270 300 360 400 432 450 540 600 675 720 900 1080 1200 1350 1800 2160 2700 3600 5400 10800 1227353 2454706 3682059 4909412 6136765 7364118 9818824 11046177 12273530 14728236 18410295 19637648 22092354 24547060 29456472 30683825 33138531 36820590 44184708 49094120 55230885 58912944 61367650 66277062 73641180 88369416 92051475 98188240 110461770 122735300 132554124 147282360 165692655 176738832 184102950 220923540 245470600 265108248 276154425 294564720 331385310 368205900 441847080 490941200 530216496 552308850 662770620 736411800 828463275 883694160 1104617700 1325541240 1472823600 1656926550 2209235400 2651082480 3313853100 4418470800 6627706200 13255412400