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6540225930 = 235573179157
BaseRepresentation
bin1100001011101001…
…11110110110001010
3121212210120220100000
412011310332312022
5101343244212210
63000551423430
7321034001040
oct60564766612
917783526300
106540225930
1128568725a7
121326384b76
13802c96494
14460876390
15284299ac0
hex185d3ed8a

6540225930 has 384 divisors, whose sum is σ = 21201223680. Its totient is φ = 1419275520.

The previous prime is 6540225929. The next prime is 6540225953. The reversal of 6540225930 is 395220456.

6540225930 is a `hidden beast` number, since 6 + 5 + 40 + 22 + 593 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41657412 + ... + 41657568.

It is an arithmetic number, because the mean of its divisors is an integer number (55211520).

Almost surely, 26540225930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540225930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600611840).

6540225930 is an abundant number, since it is smaller than the sum of its proper divisors (14660997750).

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

6540225930 is a wasteful number, since it uses less digits than its factorization.

6540225930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6540225930 is about 80871.6633314785. The cubic root of 6540225930 is about 1870.0975031853.

The spelling of 6540225930 in words is "six billion, five hundred forty million, two hundred twenty-five thousand, nine hundred thirty".