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1828189512 = 233250392
BaseRepresentation
bin110110011110111…
…1111010101001000
311201102001122112200
41230331333111020
512221004031022
6501224240200
763206232402
oct15475772510
94642048480
101828189512
11858a68926
12430310060
132319acc56
14134b33b72
15aa775bac
hex6cf7f548

1828189512 has 36 divisors (see below), whose sum is σ = 4952329395. Its totient is φ = 609275568.

The previous prime is 1828189487. The next prime is 1828189607. The reversal of 1828189512 is 2159818281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 914094756 + 914094756 = 30234^2 + 30234^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=30234.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 360289 + ... + 365327.

Almost surely, 21828189512 is an apocalyptic number.

1828189512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1828189512 is an abundant number, since it is smaller than the sum of its proper divisors (3124139883).

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

1828189512 is an frugal number, since it uses more digits than its factorization.

1828189512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10090 (or 5044 counting only the distinct ones).

The product of its digits is 92160, while the sum is 45.

The square root of 1828189512 is about 42757.3328447882. The cubic root of 1828189512 is about 1222.7576944308.

The spelling of 1828189512 in words is "one billion, eight hundred twenty-eight million, one hundred eighty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5039 10078 15117 20156 30234 40312 45351 60468 90702 120936 181404 362808 25391521 50783042 76174563 101566084 152349126 203132168 228523689 304698252 457047378 609396504 914094756 1828189512