Search a number
-
+
6446246420 = 2251731863077
BaseRepresentation
bin1100000000011100…
…11110101000010100
3121122020202020200102
412000032132220110
5101200214341140
62543353233232
7315513122225
oct60016365024
917566666612
106446246420
112808813389
1212baa02818
137b96800c3
144521b124c
1527add3e15
hex18039ea14

6446246420 has 24 divisors (see below), whose sum is σ = 13615374024. Its totient is φ = 2563592576.

The previous prime is 6446246407. The next prime is 6446246459. The reversal of 6446246420 is 246426446.

It can be written as a sum of positive squares in 4 ways, for example, as 2938290436 + 3507955984 = 54206^2 + 59228^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 928079 + ... + 934998.

It is an arithmetic number, because the mean of its divisors is an integer number (567307251).

Almost surely, 26446246420 is an apocalyptic number.

It is an amenable number.

6446246420 is an abundant number, since it is smaller than the sum of its proper divisors (7169127604).

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

6446246420 is a wasteful number, since it uses less digits than its factorization.

6446246420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863259 (or 1863257 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The square root of 6446246420 is about 80288.5198518443. The cubic root of 6446246420 is about 1861.0968229300.

The spelling of 6446246420 in words is "six billion, four hundred forty-six million, two hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 1863077 3726154 7452308 9315385 18630770 37261540 322312321 644624642 1289249284 1611561605 3223123210 6446246420