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6405450040 = 2351116378893
BaseRepresentation
bin1011111011100101…
…10110100100111000
3121112101222120120101
411331302312210320
5101104243400130
62535335005144
7314506266313
oct57562664470
917471876511
106405450040
112797789470
1212a92097b4
137b1097c32
1444a9d197a
152775261ca
hex17dcb6938

6405450040 has 64 divisors (see below), whose sum is σ = 15733841760. Its totient is φ = 2327569920.

The previous prime is 6405450019. The next prime is 6405450041. The reversal of 6405450040 is 400545046.

It is a junction number, because it is equal to n+sod(n) for n = 6405449990 and 6405450008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6405450041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 715834 + ... + 724726.

Almost surely, 26405450040 is an apocalyptic number.

It is an amenable number.

6405450040 is an abundant number, since it is smaller than the sum of its proper divisors (9328391720).

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

6405450040 is a wasteful number, since it uses less digits than its factorization.

6405450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 6405450040 is about 80034.0555013927. The cubic root of 6405450040 is about 1857.1624015187.

Adding to 6405450040 its reverse (400545046), we get a palindrome (6805995086).

The spelling of 6405450040 in words is "six billion, four hundred five million, four hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1637 3274 6548 8185 8893 13096 16370 17786 18007 32740 35572 36014 44465 65480 71144 72028 88930 90035 97823 144056 177860 180070 195646 355720 360140 391292 489115 720280 782584 978230 1956460 3912920 14557841 29115682 58231364 72789205 116462728 145578410 160136251 291156820 320272502 582313640 640545004 800681255 1281090008 1601362510 3202725020 6405450040