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428233332824 = 23114866287873
BaseRepresentation
bin1100011101101001011…
…00100001100001011000
31111221100022120021121022
412032310230201201120
524004010213122244
6524421102302012
742640010161463
oct6166454414130
91457308507538
10428233332824
11155681609210
126abb2587908
13314c79b433b
1416a25b302da
15b2153a06ee
hex63b4b21858

428233332824 has 16 divisors (see below), whose sum is σ = 875931817320. Its totient is φ = 194651514880.

The previous prime is 428233332817. The next prime is 428233332841.

428233332824 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×4282333328244 (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 2433143849 + ... + 2433144024.

Almost surely, 2428233332824 is an apocalyptic number.

428233332824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428233332824 is an abundant number, since it is smaller than the sum of its proper divisors (447698484496).

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

428233332824 is a wasteful number, since it uses less digits than its factorization.

428233332824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866287890 (or 4866287886 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 428233332824 in words is "four hundred twenty-eight billion, two hundred thirty-three million, three hundred thirty-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 4866287873 9732575746 19465151492 38930302984 53529166603 107058333206 214116666412 428233332824