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5554742532768 = 25321113491274697
BaseRepresentation
bin101000011010101000001…
…1101001001101010100000
3201200000202120001122012100
41100311100131021222200
51212002103042022033
615451451414130400
71112213461326432
oct120652035115240
921600676048170
105554742532768
111851831391080
12758668050a00
13313a6b685160
14152bcb0da652
1599759244513
hex50d50749aa0

5554742532768 has 288 divisors, whose sum is σ = 18595753630272. Its totient is φ = 1550603980800.

The previous prime is 5554742532763. The next prime is 5554742532797. The reversal of 5554742532768 is 8672352474555.

5554742532768 is a `hidden beast` number, since 5 + 5 + 54 + 7 + 42 + 532 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5554742532763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20083996 + ... + 20358692.

It is an arithmetic number, because the mean of its divisors is an integer number (64568588994).

Almost surely, 25554742532768 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 5554742532768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9297876815136).

5554742532768 is an abundant number, since it is smaller than the sum of its proper divisors (13041011097504).

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

5554742532768 is a wasteful number, since it uses less digits than its factorization.

5554742532768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275228 (or 275217 counting only the distinct ones).

The product of its digits is 282240000, while the sum is 63.

The spelling of 5554742532768 in words is "five trillion, five hundred fifty-four billion, seven hundred forty-two million, five hundred thirty-two thousand, seven hundred sixty-eight".