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2428260420264 = 233721168502043
BaseRepresentation
bin100011010101011111100…
…110011000101010101000
322121010202122101022112220
4203111133212120222220
5304241034131422024
65055305532034040
7340302362004630
oct43253746305250
98533678338486
102428260420264
11856901780208
12332743602920
13147ca3a40a83
14857580316c0
154327092de79
hex2355f998aa8

2428260420264 has 64 divisors (see below), whose sum is σ = 6970767997440. Its totient is φ = 690500583360.

The previous prime is 2428260420251. The next prime is 2428260420409. The reversal of 2428260420264 is 4620240628242.

2428260420264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34215574 + ... + 34286469.

It is an arithmetic number, because the mean of its divisors is an integer number (108918249960).

Almost surely, 22428260420264 is an apocalyptic number.

2428260420264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2428260420264 is an abundant number, since it is smaller than the sum of its proper divisors (4542507577176).

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

2428260420264 is a wasteful number, since it uses less digits than its factorization.

2428260420264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68502270 (or 68502266 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 2428260420264 in words is "two trillion, four hundred twenty-eight billion, two hundred sixty million, four hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 1266 1477 1688 2532 2954 4431 5064 5908 8862 11816 17724 35448 68502043 137004086 205506129 274008172 411012258 479514301 548016344 822024516 959028602 1438542903 1644049032 1918057204 2877085806 3836114408 5754171612 11508343224 14453931073 28907862146 43361793219 57815724292 86723586438 101177517511 115631448584 173447172876 202355035022 303532552533 346894345752 404710070044 607065105066 809420140088 1214130210132 2428260420264