Search a number
-
+
5542742016 = 211327217192
BaseRepresentation
bin1010010100101111…
…11000100000000000
3112022021122110122100
411022113320200000
542322420221031
62314000110400
7254232346500
oct51227704000
915267573570
105542742016
112394808129
1210a8305400
136a442a606
143a81c1a00
15226913de6
hex14a5f8800

5542742016 has 648 divisors, whose sum is σ = 20809880910. Its totient is φ = 1412038656.

The previous prime is 5542741979. The next prime is 5542742017. The reversal of 5542742016 is 6102472455.

It is a happy number.

5542742016 is a `hidden beast` number, since 554 + 2 + 74 + 20 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4075545600 + 1467196416 = 63840^2 + 38304^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5542742017) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 291723255 + ... + 291723273.

Almost surely, 25542742016 is an apocalyptic number.

5542742016 is a gapful number since it is divisible by the number (56) 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 5542742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10404940455).

5542742016 is an abundant number, since it is smaller than the sum of its proper divisors (15267138894).

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

5542742016 is a wasteful number, since it uses less digits than its factorization.

5542742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

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

The square root of 5542742016 is about 74449.5937933848. The cubic root of 5542742016 is about 1769.7349253528.

The spelling of 5542742016 in words is "five billion, five hundred forty-two million, seven hundred forty-two thousand, sixteen".