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5412641422500 = 22325413149124193
BaseRepresentation
bin100111011000011101010…
…0100011011110010100100
3201011102222021202022000100
41032300322210123302210
51202140042201010000
615302311054144100
71066023204660264
oct116607244336244
921142867668010
105412641422500
1117a7540a80774
1273500a7b2030
13303543706b60
14149d8a8137a4
1595bddd3ba00
hex4ec3a91bca4

5412641422500 has 360 divisors, whose sum is σ = 18535842725400. Its totient is φ = 1323389952000.

The previous prime is 5412641422499. The next prime is 5412641422501. The reversal of 5412641422500 is 52241462145.

5412641422500 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 6 + 4 + 142 + 2 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (5412641422499) and next prime (5412641422501).

It can be written as a sum of positive squares in 20 ways, for example, as 5403979025316 + 8662397184 = 2324646^2 + 93072^2 .

It is a super-4 number, since 4×54126414225004 (a number of 52 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5412641422501) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43520404 + ... + 43644596.

It is an arithmetic number, because the mean of its divisors is an integer number (51488452015).

Almost surely, 25412641422500 is an apocalyptic number.

5412641422500 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 5412641422500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9267921362700).

5412641422500 is an abundant number, since it is smaller than the sum of its proper divisors (13123201302900).

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

5412641422500 is a wasteful number, since it uses less digits than its factorization.

5412641422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124385 (or 124365 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 5412641422500 its reverse (52241462145), we get a palindrome (5464882884645).

The spelling of 5412641422500 in words is "five trillion, four hundred twelve billion, six hundred forty-one million, four hundred twenty-two thousand, five hundred".