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5501714400 = 253552713311
BaseRepresentation
bin1010001111110110…
…10111111111100000
3112012102110001100000
411013323113333200
542231414330100
62305532500000
7253223541450
oct50773277740
915172401300
105501714400
112373635506
12109661a600
13698a94110
143a2981d60
1522300c900
hex147ed7fe0

5501714400 has 864 divisors, whose sum is σ = 24841410048. Its totient is φ = 1157068800.

The previous prime is 5501714377. The next prime is 5501714401. The reversal of 5501714400 is 44171055.

It is a happy number.

5501714400 is a `hidden beast` number, since 5 + 50 + 171 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×55017144002 = 60537722678334720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5501714401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17690245 + ... + 17690555.

It is an arithmetic number, because the mean of its divisors is an integer number (28751632).

Almost surely, 25501714400 is an apocalyptic number.

5501714400 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 5501714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12420705024).

5501714400 is an abundant number, since it is smaller than the sum of its proper divisors (19339695648).

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

5501714400 is a wasteful number, since it uses less digits than its factorization.

5501714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5501714400 is about 74173.5424528180. The cubic root of 5501714400 is about 1765.3575555548.

Adding to 5501714400 its reverse (44171055), we get a palindrome (5545885455).

The spelling of 5501714400 in words is "five billion, five hundred one million, seven hundred fourteen thousand, four hundred".