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55044014400 = 26335217241311
BaseRepresentation
bin110011010000111000…
…010000000101000000
312021002010000122121000
4303100320100011000
51400212231430100
641141544132000
73656020255044
oct632070200500
9167063018530
1055044014400
1121386a027a1
12a802167000
135262a6c42b
1429425ac024
1516725e2900
hexcd0e10140

55044014400 has 672 divisors, whose sum is σ = 214026658560. Its totient is φ = 13713408000.

The previous prime is 55044014393. The next prime is 55044014413. The reversal of 55044014400 is 441044055.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176990245 + ... + 176990555.

Almost surely, 255044014400 is an apocalyptic number.

55044014400 is a gapful number since it is divisible by the number (50) 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 55044014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107013329280).

55044014400 is an abundant number, since it is smaller than the sum of its proper divisors (158982644160).

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

55044014400 is a wasteful number, since it uses less digits than its factorization.

55044014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 55044014400 its reverse (441044055), we get a palindrome (55485058455).

The spelling of 55044014400 in words is "fifty-five billion, forty-four million, fourteen thousand, four hundred".