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40649011456 = 28126012
BaseRepresentation
bin100101110110110111…
…101011000100000000
310212220220021201211211
4211312313223010000
51131222121331311
630401321215504
72636214616324
oct456667530400
9125826251754
1040649011456
111626a341a49
127a65331594
133aaa67b601
141d78871984
1510cd986821
hex976deb100

40649011456 has 27 divisors (see below), whose sum is σ = 81145677333. Its totient is φ = 20322892800.

The previous prime is 40649011451. The next prime is 40649011463. The reversal of 40649011456 is 65411094604.

The square root of 40649011456 is 201616.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14014771456 + 26634240000 = 118384^2 + 163200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40649011451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3219556 + ... + 3232156.

Almost surely, 240649011456 is an apocalyptic number.

40649011456 is the 201616-th square number.

It is an amenable number.

40649011456 is a deficient number, since it is larger than the sum of its proper divisors (40496665877).

40649011456 is an frugal number, since it uses more digits than its factorization.

40649011456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25218 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 40649011456 in words is "forty billion, six hundred forty-nine million, eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 12601 25202 50404 100808 201616 403232 806464 1612928 3225856 158785201 317570402 635140804 1270281608 2540563216 5081126432 10162252864 20324505728 40649011456