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428666179224 = 233412273191657
BaseRepresentation
bin1100011110011100111…
…11101100111010011000
31111222110111001011020110
412033032133230322120
524010402020213344
6524532043524320
742653514255363
oct6171637547230
91458414034213
10428666179224
11155883979108
126b0b35296a0
133156658637a
1416a674050da
15b23d3a13b9
hex63ce7ece98

428666179224 has 64 divisors (see below), whose sum is σ = 1098292335840. Its totient is φ = 139341578240.

The previous prime is 428666179213. The next prime is 428666179229. The reversal of 428666179224 is 422971666824.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428666179229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2140804 + ... + 2332460.

Almost surely, 2428666179224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428666179224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549146167920).

428666179224 is an abundant number, since it is smaller than the sum of its proper divisors (669626156616).

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

428666179224 is a wasteful number, since it uses less digits than its factorization.

428666179224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193980 (or 193976 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The spelling of 428666179224 in words is "four hundred twenty-eight billion, six hundred sixty-six million, one hundred seventy-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 2273 4546 6819 9092 13638 18184 27276 54552 93193 186386 191657 279579 372772 383314 559158 574971 745544 766628 1118316 1149942 1533256 2236632 2299884 4599768 7857937 15715874 23573811 31431748 47147622 62863496 94295244 188590488 435636361 871272722 1306909083 1742545444 2613818166 3485090888 5227636332 10455272664 17861090801 35722181602 53583272403 71444363204 107166544806 142888726408 214333089612 428666179224