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5305020000 = 25354717743
BaseRepresentation
bin1001111000011010…
…00010111001100000
3111200201022221100020
410330031002321200
541331041120000
62234224553440
7245314632420
oct47415027140
914621287306
105305020000
112282600055
121040782880
136670c65b7
143847c0480
15210b07ba0
hex13c342e60

5305020000 has 480 divisors, whose sum is σ = 21085650432. Its totient is φ = 1139712000.

The previous prime is 5305019999. The next prime is 5305020023. The reversal of 5305020000 is 205035.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7139629 + ... + 7140371.

Almost surely, 25305020000 is an apocalyptic number.

5305020000 is a gapful number since it is divisible by the number (50) 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 5305020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10542825216).

5305020000 is an abundant number, since it is smaller than the sum of its proper divisors (15780630432).

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

5305020000 is a wasteful number, since it uses less digits than its factorization.

5305020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 5305020000 is about 72835.5682342082. The cubic root of 5305020000 is about 1744.0636953141.

Adding to 5305020000 its reverse (205035), we get a palindrome (5305225035).

The spelling of 5305020000 in words is "five billion, three hundred five million, twenty thousand".