Search a number
-
+
427026413520 = 243257679713037
BaseRepresentation
bin1100011011011001100…
…00011111011111010000
31111211020012112102120100
412031230300133133100
523444022230213040
6524101230012400
742565053424350
oct6155460373720
91454205472510
10427026413520
11155112306943
126a916347100
13313649395c5
141694d71cb60
15b194449b30
hex636cc1f7d0

427026413520 has 480 divisors, whose sum is σ = 1680707927808. Its totient is φ = 95150702592.

The previous prime is 427026413509. The next prime is 427026413533. The reversal of 427026413520 is 25314620724.

427026413520 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 2 + 641 + 3 + 5 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32748442 + ... + 32761478.

Almost surely, 2427026413520 is an apocalyptic number.

427026413520 is a gapful number since it is divisible by the number (40) 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 427026413520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840353963904).

427026413520 is an abundant number, since it is smaller than the sum of its proper divisors (1253681514288).

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

427026413520 is a wasteful number, since it uses less digits than its factorization.

427026413520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13227 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 427026413520 in words is "four hundred twenty-seven billion, twenty-six million, four hundred thirteen thousand, five hundred twenty".