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5742411725520 = 2434519318318127
BaseRepresentation
bin101001110010000001001…
…1010010011101011010000
3202022222011112202102010000
41103210002122103223100
51223040424400204040
620114005540210000
71131606213210201
oct123440232235320
922288145672100
105742411725520
111914385795288
12788b02099900
13328679146482
1415bd1168b5a8
159e58eda1130
hex53902693ad0

5742411725520 has 800 divisors, whose sum is σ = 21933476167680. Its totient is φ = 1386926115840.

The previous prime is 5742411725497. The next prime is 5742411725521. The reversal of 5742411725520 is 255271142475.

It is a happy number.

5742411725520 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 4 + 117 + 2 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742411725521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 316778697 + ... + 316796823.

Almost surely, 25742411725520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742411725520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10966738083840).

5742411725520 is an abundant number, since it is smaller than the sum of its proper divisors (16191064442160).

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

5742411725520 is a wasteful number, since it uses less digits than its factorization.

5742411725520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18285 (or 18270 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

Adding to 5742411725520 its reverse (255271142475), we get a palindrome (5997682867995).

The spelling of 5742411725520 in words is "five trillion, seven hundred forty-two billion, four hundred eleven million, seven hundred twenty-five thousand, five hundred twenty".