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428145248421 = 331117831021663
BaseRepresentation
bin1100011101011110111…
…00100000100010100101
31111221010011211010112000
412032233130200202211
524003320140422141
6524404234315513
742634560364602
oct6165734404245
91457104733460
10428145248421
11155636916090
126ab88b88b99
13314b26832a7
1416a181616a9
15b20c7a15b6
hex63af7208a5

428145248421 has 64 divisors (see below), whose sum is σ = 741482864640. Its totient is φ = 241275697920.

The previous prime is 428145248393. The next prime is 428145248429. The reversal of 428145248421 is 124842541824.

428145248421 is a `hidden beast` number, since 4 + 2 + 8 + 145 + 2 + 484 + 21 = 666.

It is not a de Polignac number, because 428145248421 - 26 = 428145248357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428145248429) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 91765 + ... + 929898.

It is an arithmetic number, because the mean of its divisors is an integer number (11585669760).

Almost surely, 2428145248421 is an apocalyptic number.

It is an amenable number.

428145248421 is a deficient number, since it is larger than the sum of its proper divisors (313337616219).

428145248421 is a wasteful number, since it uses less digits than its factorization.

428145248421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021783 (or 1021777 counting only the distinct ones).

The product of its digits is 655360, while the sum is 45.

The spelling of 428145248421 in words is "four hundred twenty-eight billion, one hundred forty-five million, two hundred forty-eight thousand, four hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 83 99 153 187 249 297 459 561 747 913 1411 1683 2241 2739 4233 5049 8217 12699 15521 24651 38097 46563 139689 419067 1021663 3064989 9194967 11238293 17368271 27584901 33714879 52104813 84798029 101144637 156314439 191050981 254394087 303433911 468943317 573152943 763182261 932778319 1441566493 1719458829 2289546783 2798334957 4324699479 5158376487 8395004871 12974098437 15857231423 25185014613 38922295311 47571694269 142715082807 428145248421