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5542509888 = 26344189293
BaseRepresentation
bin1010010100101101…
…11111110101000000
3112022021012200020000
411022112333311000
542322340304023
62313551120000
7254230361646
oct51226776500
915267180200
105542509888
112394669793
1210a8213000
136a4378a66
143a8161196
152268ba243
hex14a5bfd40

5542509888 has 280 divisors, whose sum is σ = 17077654440. Its totient is φ = 1776107520.

The previous prime is 5542509877. The next prime is 5542509911. The reversal of 5542509888 is 8889052455.

It is a happy number.

5542509888 is a `hidden beast` number, since 5 + 54 + 2 + 509 + 8 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 264777984 + 5277731904 = 16272^2 + 72648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 18916270 + ... + 18916562.

It is an arithmetic number, because the mean of its divisors is an integer number (60991623).

Almost surely, 25542509888 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 5542509888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8538827220).

5542509888 is an abundant number, since it is smaller than the sum of its proper divisors (11535144552).

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

5542509888 is a wasteful number, since it uses less digits than its factorization.

5542509888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The square root of 5542509888 is about 74448.0348162394. The cubic root of 5542509888 is about 1769.7102197250.

The spelling of 5542509888 in words is "five billion, five hundred forty-two million, five hundred nine thousand, eight hundred eighty-eight".