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55434401400 = 23352713198667
BaseRepresentation
bin110011101000001001…
…011101011001111000
312022002022121100212210
4303220021131121320
51402012201321100
641244411335120
74001500431420
oct635011353170
9168068540783
1055434401400
1121567302284
12a8b0a514a0
1352c58c6361
14297c38d480
151696a07c50
hexce825d678

55434401400 has 96 divisors (see below), whose sum is σ = 196396179840. Its totient is φ = 12670719360.

The previous prime is 55434401389. The next prime is 55434401401. The reversal of 55434401400 is 410443455.

55434401400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55434401401) 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, 6595134 + ... + 6603533.

It is an arithmetic number, because the mean of its divisors is an integer number (2045793540).

Almost surely, 255434401400 is an apocalyptic number.

55434401400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55434401400 is an abundant number, since it is smaller than the sum of its proper divisors (140961778440).

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

55434401400 is a wasteful number, since it uses less digits than its factorization.

55434401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13198693 (or 13198684 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 55434401400 its reverse (410443455), we get a palindrome (55844844855).

The spelling of 55434401400 in words is "fifty-five billion, four hundred thirty-four million, four hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 13198667 26397334 39596001 52794668 65993335 79192002 92390669 105589336 131986670 158384004 184781338 197980005 263973340 277172007 316768008 329966675 369562676 395960010 461953345 527946680 554344014 659933350 739125352 791920020 923906690 989900025 1108688028 1319866700 1385860035 1583840040 1847813380 1979800050 2217376056 2309766725 2639733400 2771720070 3695626760 3959600100 4619533450 5543440140 6929300175 7919200200 9239066900 11086880280 13858600350 18478133800 27717200700 55434401400