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5542142760000 = 263254711199933
BaseRepresentation
bin101000010100110000101…
…1100110101010001000000
3201121211020110100212021200
41100221201130311101000
51211300302021310000
615442005241221200
71111256315121150
oct120514134652100
921554213325250
105542142760000
111847456117330
12756130491800
133128111a4302
14152353994760
159926ceed500
hex50a61735440

5542142760000 has 840 divisors, whose sum is σ = 24748905365184. Its totient is φ = 1151608320000.

The previous prime is 5542142759981. The next prime is 5542142760023. The reversal of 5542142760000 is 672412455.

It is a happy number.

5542142760000 is a `hidden beast` number, since 5 + 5 + 4 + 2 + 1 + 42 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27620034 + ... + 27819966.

Almost surely, 25542142760000 is an apocalyptic number.

5542142760000 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 5542142760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374452682592).

5542142760000 is an abundant number, since it is smaller than the sum of its proper divisors (19206762605184).

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

5542142760000 is a wasteful number, since it uses less digits than its factorization.

5542142760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199989 (or 199961 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 5542142760000 in words is "five trillion, five hundred forty-two billion, one hundred forty-two million, seven hundred sixty thousand".