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1828668516 = 223367419991
BaseRepresentation
bin110110011111111…
…0100010001100100
311201102221222121120
41230333310101210
512221114343031
6501242413540
763213266043
oct15477642144
94642858546
101828668516
118592657a4
124305012b0
13231b19c9c
14134c1a55a
15aa81ca96
hex6cff4464

1828668516 has 48 divisors (see below), whose sum is σ = 4293058560. Its totient is φ = 605832480.

The previous prime is 1828668503. The next prime is 1828668539. The reversal of 1828668516 is 6158668281.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1844781 + ... + 1845771.

It is an arithmetic number, because the mean of its divisors is an integer number (89438720).

Almost surely, 21828668516 is an apocalyptic number.

It is an amenable number.

1828668516 is an abundant number, since it is smaller than the sum of its proper divisors (2464390044).

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

1828668516 is a wasteful number, since it uses less digits than its factorization.

1828668516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1782 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 1828668516 is about 42762.9339030895. The cubic root of 1828668516 is about 1222.8644767012.

The spelling of 1828668516 in words is "one billion, eight hundred twenty-eight million, six hundred sixty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 367 419 734 838 991 1101 1257 1468 1676 1982 2202 2514 2973 3964 4404 5028 5946 11892 153773 307546 363697 415229 461319 615092 727394 830458 922638 1091091 1245687 1454788 1660916 1845276 2182182 2491374 4364364 4982748 152389043 304778086 457167129 609556172 914334258 1828668516