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5742041529600 = 283452174911327
BaseRepresentation
bin101001110001110110001…
…0110000111110100000000
3202022221012202011111210000
41103203230112013310000
51223034200112421400
620113505113440000
71131564066456615
oct123435426076400
922287182144700
105742041529600
111914205826642
12788a1a110000
1332861a53b92c
1415bcb844450c
159e56c628600
hex538ec587d00

5742041529600 has 1080 divisors, whose sum is σ = 22542581432448. Its totient is φ = 1437120921600.

The previous prime is 5742041529599. The next prime is 5742041529649. The reversal of 5742041529600 is 69251402475.

5742041529600 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 0 + 4 + 15 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×57420415296002 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4327084137 + ... + 4327085463.

Almost surely, 25742041529600 is an apocalyptic number.

5742041529600 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 5742041529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11271290716224).

5742041529600 is an abundant number, since it is smaller than the sum of its proper divisors (16800539902848).

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

5742041529600 is a wasteful number, since it uses less digits than its factorization.

5742041529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5742041529600 in words is "five trillion, seven hundred forty-two billion, forty-one million, five hundred twenty-nine thousand, six hundred".