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55111400400 = 2435276560881
BaseRepresentation
bin110011010100111001…
…010011101111010000
312021020210211012210210
4303110321103233100
51400332004303100
641152352324120
73660466113510
oct632471235720
9167223735723
1055111400400
1121410a48901
12a820843640
135273a041c4
14294b50d840
1516784a3c50
hexcd4e53bd0

55111400400 has 120 divisors (see below), whose sum is σ = 201760243264. Its totient is φ = 12596889600.

The previous prime is 55111400363. The next prime is 55111400401. The reversal of 55111400400 is 400411155.

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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55111400401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3272041 + ... + 3288840.

Almost surely, 255111400400 is an apocalyptic number.

55111400400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55111400400 is an abundant number, since it is smaller than the sum of its proper divisors (146648842864).

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

55111400400 is a wasteful number, since it uses less digits than its factorization.

55111400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6560909 (or 6560898 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 55111400400 its reverse (400411155), we get a palindrome (55511811555).

The spelling of 55111400400 in words is "fifty-five billion, one hundred eleven million, four hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 6560881 13121762 19682643 26243524 32804405 39365286 45926167 52487048 65608810 78730572 91852334 98413215 104974096 131217620 137778501 157461144 164022025 183704668 196826430 229630835 262435240 275557002 314922288 328044050 367409336 393652860 459261670 492066075 524870480 551114004 656088100 688892505 734818672 787305720 918523340 984132150 1102228008 1148154175 1312176200 1377785010 1574611440 1837046680 1968264300 2204456016 2296308350 2624352400 2755570020 3444462525 3674093360 3936528600 4592616700 5511140040 6888925050 7873057200 9185233400 11022280080 13777850100 18370466800 27555700200 55111400400