Search a number
-
+
427742202888 = 233274114132
BaseRepresentation
bin1100011100101110110…
…11000000110000001000
31111220002002102021222200
412032113123000300020
524002004000443023
6524300235520200
742621564510000
oct6162733006010
91456062367880
10427742202888
1115544a360000
126aa95bb9060
133144a016700
14169ba807000
15b1d71da743
hex63976c0c08

427742202888 has 900 divisors, whose sum is σ = 1609754096925. Its totient is φ = 102555573120.

The previous prime is 427742202871. The next prime is 427742202919. The reversal of 427742202888 is 888202247724.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

427742202888 is a `hidden beast` number, since 427 + 7 + 4 + 2 + 202 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 365732238564 + 62009964324 = 604758^2 + 249018^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=462462.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 32903246370 + ... + 32903246382.

Almost surely, 2427742202888 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 427742202888

427742202888 is an abundant number, since it is smaller than the sum of its proper divisors (1182011894037).

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

427742202888 is an equidigital number, since it uses as much as digits as its factorization.

427742202888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 427742202888 in words is "four hundred twenty-seven billion, seven hundred forty-two million, two hundred two thousand, eight hundred eighty-eight".