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2730545568 = 25329481061
BaseRepresentation
bin1010001011000000…
…1101000110100000
321001022000002100100
42202300031012200
521043004424233
61130541022400
7124444153152
oct24260150640
97038002310
102730545568
11118135a333
12642554a00
1334691cb4a
141bc904ad2
1510eaba813
hexa2c0d1a0

2730545568 has 36 divisors (see below), whose sum is σ = 7764989778. Its totient is φ = 910181760.

The previous prime is 2730545561. The next prime is 2730545569. The reversal of 2730545568 is 8655450372.

2730545568 is a `hidden beast` number, since 2 + 7 + 30 + 54 + 5 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2045571984 + 684973584 = 45228^2 + 26172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2730545561) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4740243 + ... + 4740818.

Almost surely, 22730545568 is an apocalyptic number.

It is an amenable number.

2730545568 is an abundant number, since it is smaller than the sum of its proper divisors (5034444210).

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

2730545568 is a wasteful number, since it uses less digits than its factorization.

2730545568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9481077 (or 9481066 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2730545568 is about 52254.6224558172. The cubic root of 2730545568 is about 1397.7080812747.

The spelling of 2730545568 in words is "two billion, seven hundred thirty million, five hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9481061 18962122 28443183 37924244 56886366 75848488 85329549 113772732 151696976 170659098 227545464 303393952 341318196 455090928 682636392 910181856 1365272784 2730545568