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2764414496 = 251373891621
BaseRepresentation
bin1010010011000101…
…1001111000100000
321010122201210210002
42210301121320200
521130142230441
61134150555132
7125335064324
oct24461317040
97118653702
102764414496
111199492588
12651968aa8
1335094ab2c
141c31dd984
15112a5ab9b
hexa4c59e20

2764414496 has 48 divisors (see below), whose sum is σ = 5499650520. Its totient is φ = 1367746560.

The previous prime is 2764414483. The next prime is 2764414537. The reversal of 2764414496 is 6944144672.

It can be written as a sum of positive squares in 4 ways, for example, as 2446291600 + 318122896 = 49460^2 + 17836^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2764414496.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1704566 + ... + 1706186.

Almost surely, 22764414496 is an apocalyptic number.

It is an amenable number.

2764414496 is a deficient number, since it is larger than the sum of its proper divisors (2735236024).

2764414496 is a wasteful number, since it uses less digits than its factorization.

2764414496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2149 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 47.

The square root of 2764414496 is about 52577.6996073430. The cubic root of 2764414496 is about 1403.4632786403.

The spelling of 2764414496 in words is "two billion, seven hundred sixty-four million, four hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 137 274 389 548 778 1096 1556 1621 2192 3112 3242 4384 6224 6484 12448 12968 25936 51872 53293 106586 213172 222077 426344 444154 630569 852688 888308 1261138 1705376 1776616 2522276 3553232 5044552 7106464 10089104 20178208 86387953 172775906 345551812 691103624 1382207248 2764414496