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6456612640 = 25553761393
BaseRepresentation
bin1100000001101100…
…00001011100100000
3121122222020220110111
412000312001130200
5101210343101030
62544403341104
7316000205362
oct60066013440
917588226414
106456612640
112813653705
121302381794
137bb86c56a
1445370cd32
1527bc8062a
hex180d81720

6456612640 has 48 divisors (see below), whose sum is σ = 15541574328. Its totient is φ = 2533912576.

The previous prime is 6456612629. The next prime is 6456612671. The reversal of 6456612640 is 462166546.

It can be written as a sum of positive squares in 4 ways, for example, as 6021139216 + 435473424 = 77596^2 + 20868^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6456612593 and 6456612602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372217 + ... + 389176.

Almost surely, 26456612640 is an apocalyptic number.

It is an amenable number.

6456612640 is an abundant number, since it is smaller than the sum of its proper divisors (9084961688).

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

6456612640 is a wasteful number, since it uses less digits than its factorization.

6456612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761461 (or 761453 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 6456612640 is about 80353.0499732275. The cubic root of 6456612640 is about 1862.0938996589.

The spelling of 6456612640 in words is "six billion, four hundred fifty-six million, six hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 761393 1522786 3045572 3806965 6091144 7613930 12182288 15227860 24364576 30455720 40353829 60911440 80707658 121822880 161415316 201769145 322830632 403538290 645661264 807076580 1291322528 1614153160 3228306320 6456612640