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1648068864 = 28313237177
BaseRepresentation
bin110001000111011…
…1000100100000000
311020212010120110120
41202032320210000
511333401200424
6431311500240
755561232331
oct14216704400
94225116416
101648068864
11776323592
1239bb27680
132035961a0
14118c48288
1599a46a79
hex623b8900

1648068864 has 144 divisors (see below), whose sum is σ = 4929735552. Its totient is φ = 484982784.

The previous prime is 1648068857. The next prime is 1648068899. The reversal of 1648068864 is 4688608461.

It is a super-2 number, since 2×16480688642 = 5432261960972500992, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 226044 + ... + 233220.

Almost surely, 21648068864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464867776).

1648068864 is an abundant number, since it is smaller than the sum of its proper divisors (3281666688).

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

1648068864 is a wasteful number, since it uses less digits than its factorization.

1648068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 1648068864 is about 40596.4144229512. The cubic root of 1648068864 is about 1181.2045690318.

The spelling of 1648068864 in words is "one billion, six hundred forty-eight million, sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 184 192 208 256 276 299 312 368 384 416 552 598 624 736 768 832 897 1104 1196 1248 1472 1664 1794 2208 2392 2496 2944 3328 3588 4416 4784 4992 5888 7176 7177 8832 9568 9984 14352 14354 17664 19136 21531 28704 28708 38272 43062 57408 57416 76544 86124 93301 114816 114832 165071 172248 186602 229632 229664 279903 330142 344496 373204 459328 495213 559806 660284 688992 746408 918656 990426 1119612 1320568 1377984 1492816 1837312 1980852 2145923 2239224 2641136 2755968 2985632 3961704 4291846 4478448 5282272 5511936 5971264 6437769 7923408 8583692 8956896 10564544 11942528 12875538 15846816 17167384 17913792 21129088 23885056 25751076 31693632 34334768 35827584 42258176 51502152 63387264 68669536 71655168 103004304 126774528 137339072 206008608 274678144 412017216 549356288 824034432 1648068864