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6406066420 = 2251324638717
BaseRepresentation
bin1011111011101010…
…01101000011110100
3121112110010220002021
411331311031003310
5101104423111140
62535400122524
7314514444325
oct57565150364
917473126067
106406066420
11279806a576
1212a9466444
137b1252660
1444ab1244c
152775e8b4a
hex17dd4d0f4

6406066420 has 24 divisors (see below), whose sum is σ = 14487566184. Its totient is φ = 2365316736.

The previous prime is 6406066417. The next prime is 6406066453. The reversal of 6406066420 is 246606046.

It can be written as a sum of positive squares in 4 ways, for example, as 7986276 + 6398080144 = 2826^2 + 79988^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12319099 + ... + 12319618.

It is an arithmetic number, because the mean of its divisors is an integer number (603648591).

Almost surely, 26406066420 is an apocalyptic number.

It is an amenable number.

6406066420 is an abundant number, since it is smaller than the sum of its proper divisors (8081499764).

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

6406066420 is a wasteful number, since it uses less digits than its factorization.

6406066420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24638739 (or 24638737 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 6406066420 is about 80037.9061445263. The cubic root of 6406066420 is about 1857.2219695969.

The spelling of 6406066420 in words is "six billion, four hundred six million, sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 24638717 49277434 98554868 123193585 246387170 320303321 492774340 640606642 1281213284 1601516605 3203033210 6406066420