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6225413760 = 273452941101
BaseRepresentation
bin1011100110001000…
…00100011010000000
3121001212012210020000
411303010010122000
5100222201220020
62505424120000
7310162100226
oct56304043200
917055183200
106225413760
1127050a1555
121258a66000
137829b06a7
14430b28b16
15266812090
hex173104680

6225413760 has 640 divisors, whose sum is σ = 23792907600. Its totient is φ = 1548288000.

The previous prime is 6225413687. The next prime is 6225413773. The reversal of 6225413760 is 673145226.

6225413760 is a `hidden beast` number, since 6 + 22 + 541 + 37 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2815788096 + 3409625664 = 53064^2 + 58392^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61637710 + ... + 61637810.

Almost surely, 26225413760 is an apocalyptic number.

6225413760 is a gapful number since it is divisible by the number (60) 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 6225413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896453800).

6225413760 is an abundant number, since it is smaller than the sum of its proper divisors (17567493840).

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

6225413760 is a wasteful number, since it uses less digits than its factorization.

6225413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6225413760 is about 78901.2912441869. The cubic root of 6225413760 is about 1839.5972023145.

Adding to 6225413760 its reverse (673145226), we get a palindrome (6898558986).

The spelling of 6225413760 in words is "six billion, two hundred twenty-five million, four hundred thirteen thousand, seven hundred sixty".