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5414701824 = 283371729227
BaseRepresentation
bin1010000101011110…
…11100101100000000
3111222100201100112000
411002233130230000
542042130424244
62253143504000
7251116130460
oct50257345400
914870640460
105414701824
112329504694
121071458000
13683a49b9c
143951b1ba0
1521a571169
hex142bdcb00

5414701824 has 576 divisors, whose sum is σ = 20132582400. Its totient is φ = 1399652352.

The previous prime is 5414701763. The next prime is 5414701829. The reversal of 5414701824 is 4281074145.

It is a happy number.

5414701824 is a `hidden beast` number, since 5 + 4 + 1 + 470 + 182 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414701829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23853199 + ... + 23853425.

It is an arithmetic number, because the mean of its divisors is an integer number (34952400).

Almost surely, 25414701824 is an apocalyptic number.

5414701824 is a gapful number since it is divisible by the number (54) 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 5414701824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066291200).

5414701824 is an abundant number, since it is smaller than the sum of its proper divisors (14717880576).

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

5414701824 is a wasteful number, since it uses less digits than its factorization.

5414701824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5414701824 is about 73584.6575313088. The cubic root of 5414701824 is about 1756.0013629364.

Adding to 5414701824 its reverse (4281074145), we get a palindrome (9695775969).

The spelling of 5414701824 in words is "five billion, four hundred fourteen million, seven hundred one thousand, eight hundred twenty-four".