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2516064516 = 223279984383
BaseRepresentation
bin1001010111111000…
…0001100100000100
320111100102022122200
42111332001210010
520123103031031
61053355554500
7116231124030
oct22576014404
96440368580
102516064516
111081286569
125a275ba30
13311365494
1419c2331c0
15ead508e6
hex95f81904

2516064516 has 36 divisors (see below), whose sum is σ = 7268631552. Its totient is φ = 718875504.

The previous prime is 2516064503. The next prime is 2516064517. The reversal of 2516064516 is 6154606152.

2516064516 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 0 + 645 + 1 + 6 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (2516064517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4991940 + ... + 4992443.

It is an arithmetic number, because the mean of its divisors is an integer number (201906432).

Almost surely, 22516064516 is an apocalyptic number.

It is an amenable number.

2516064516 is an abundant number, since it is smaller than the sum of its proper divisors (4752567036).

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

2516064516 is a wasteful number, since it uses less digits than its factorization.

2516064516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9984400 (or 9984395 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2516064516 is about 50160.3879171603. The cubic root of 2516064516 is about 1360.1096573922.

It can be divided in two parts, 25160 and 64516, that added together give a triangular number (89676 = T423).

The spelling of 2516064516 in words is "two billion, five hundred sixteen million, sixty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 9984383 19968766 29953149 39937532 59906298 69890681 89859447 119812596 139781362 179718894 209672043 279562724 359437788 419344086 629016129 838688172 1258032258 2516064516