Search a number
-
+
425410598880 = 253251930415113
BaseRepresentation
bin1100011000011000111…
…00101001011111100000
31111200001121002112120200
412030030130221133200
523432220103131010
6523233025305200
742510033266451
oct6141434513740
91450047075520
10425410598880
11154463213443
126a545195200
1331167c57477
1416838cad128
15b0ec674cc0
hex630c7297e0

425410598880 has 288 divisors, whose sum is σ = 1528921124640. Its totient is φ = 107415797760.

The previous prime is 425410598857. The next prime is 425410598891. The reversal of 425410598880 is 88895014524.

425410598880 is a `hidden beast` number, since 4 + 2 + 5 + 41 + 0 + 598 + 8 + 8 + 0 = 666.

425410598880 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83199204 + ... + 83204316.

It is an arithmetic number, because the mean of its divisors is an integer number (5308753905).

Almost surely, 2425410598880 is an apocalyptic number.

425410598880 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 425410598880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764460562320).

425410598880 is an abundant number, since it is smaller than the sum of its proper divisors (1103510525760).

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

425410598880 is a wasteful number, since it uses less digits than its factorization.

425410598880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8194 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 425410598880 in words is "four hundred twenty-five billion, four hundred ten million, five hundred ninety-eight thousand, eight hundred eighty".