Search a number
-
+
427010907288 = 233721724361479
BaseRepresentation
bin1100011011010111101…
…01010101110010011000
31111211012010100122000110
412031223311111302120
523444004243013123
6524055513404320
742564504552600
oct6155365256230
91454163318013
10427010907288
11155104585879
126a9111096a0
133136166a714
141694b643c00
15b192dd5493
hex636bd55c98

427010907288 has 576 divisors, whose sum is σ = 1374833433600. Its totient is φ = 110087147520.

The previous prime is 427010907251. The next prime is 427010907289. The reversal of 427010907288 is 882709010724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427010907289) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 891463033 + ... + 891463511.

It is an arithmetic number, because the mean of its divisors is an integer number (2386863600).

Almost surely, 2427010907288 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 427010907288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687416716800).

427010907288 is an abundant number, since it is smaller than the sum of its proper divisors (947822526312).

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

427010907288 is a wasteful number, since it uses less digits than its factorization.

427010907288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 427010907288 in words is "four hundred twenty-seven billion, ten million, nine hundred seven thousand, two hundred eighty-eight".