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6456224540 = 225714546637
BaseRepresentation
bin1100000001101001…
…00010101100011100
3121122221112012002102
412000310202230130
5101210243141130
62544351144232
7315664001033
oct60064425434
917587465072
106456224540
112813409067
121302215078
137bb764a0c
1445364b71a
1527bc05645
hex180d22b1c

6456224540 has 24 divisors (see below), whose sum is σ = 13749033312. Its totient is φ = 2546116160.

The previous prime is 6456224507. The next prime is 6456224581. The reversal of 6456224540 is 454226546.

It is a junction number, because it is equal to n+sod(n) for n = 6456224494 and 6456224503.

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, 2271899 + ... + 2274738.

It is an arithmetic number, because the mean of its divisors is an integer number (572876388).

Almost surely, 26456224540 is an apocalyptic number.

It is an amenable number.

6456224540 is an abundant number, since it is smaller than the sum of its proper divisors (7292808772).

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

6456224540 is a wasteful number, since it uses less digits than its factorization.

6456224540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546717 (or 4546715 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The square root of 6456224540 is about 80350.6349694886. The cubic root of 6456224540 is about 1862.0565894281.

The spelling of 6456224540 in words is "six billion, four hundred fifty-six million, two hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 4546637 9093274 18186548 22733185 45466370 90932740 322811227 645622454 1291244908 1614056135 3228112270 6456224540