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2468516130 = 232527427957
BaseRepresentation
bin1001001100100010…
…1001000100100010
320101000221121112100
42103020221010202
520023420004010
61044540511230
7115113020013
oct22310510442
96330847470
102468516130
11105745a783
1258a84b516
13304557c42
14195bb700a
15e6aac2c0
hex93229122

2468516130 has 24 divisors (see below), whose sum is σ = 6418142172. Its totient is φ = 658270944.

The previous prime is 2468516111. The next prime is 2468516131. The reversal of 2468516130 is 316158642.

It is a happy number.

2468516130 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 516 + 130 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2450547009 + 17969121 = 49503^2 + 4239^2 .

It is not an unprimeable number, because it can be changed into a prime (2468516131) 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 11 ways as a sum of consecutive naturals, for example, 13713889 + ... + 13714068.

Almost surely, 22468516130 is an apocalyptic number.

2468516130 is an abundant number, since it is smaller than the sum of its proper divisors (3949626042).

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

2468516130 is a wasteful number, since it uses less digits than its factorization.

2468516130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27427970 (or 27427967 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2468516130 is about 49684.1637747884. The cubic root of 2468516130 is about 1351.4873648067.

The spelling of 2468516130 in words is "two billion, four hundred sixty-eight million, five hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 27427957 54855914 82283871 137139785 164567742 246851613 274279570 411419355 493703226 822838710 1234258065 2468516130