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2042345646 = 2321144922973
BaseRepresentation
bin111100110111011…
…1011100010101110
312021100000220112100
41321232323202232
513140320030041
6534354315530
7101416436325
oct17156734256
95240026470
102042345646
1195893a570
1248bb88ba6
13267182763
1415535d0bc
15be4796b6
hex79bbb8ae

2042345646 has 48 divisors (see below), whose sum is σ = 4838324400. Its totient is φ = 617487360.

The previous prime is 2042345639. The next prime is 2042345671. The reversal of 2042345646 is 6465432402.

2042345646 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 3 + 4 + 5 + 646 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2042345646.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77416 + ... + 100388.

It is an arithmetic number, because the mean of its divisors is an integer number (100798425).

Almost surely, 22042345646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042345646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419162200).

2042345646 is an abundant number, since it is smaller than the sum of its proper divisors (2795978754).

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

2042345646 is a wasteful number, since it uses less digits than its factorization.

2042345646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23441 (or 23438 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2042345646 is about 45192.3184401951. The cubic root of 2042345646 is about 1268.7510498313.

The spelling of 2042345646 in words is "two billion, forty-two million, three hundred forty-five thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 449 898 1347 2694 4041 4939 8082 9878 14817 22973 29634 44451 45946 68919 88902 137838 206757 252703 413514 505406 758109 1516218 2274327 4548654 10314877 20629754 30944631 61889262 92833893 113463647 185667786 226927294 340390941 680781882 1021172823 2042345646