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2064659328 = 27332832111
BaseRepresentation
bin111101100010000…
…0011001110000000
312022220000120011000
41323010003032000
513212023044303
6540512452000
7102110212644
oct17304031600
95286016130
102064659328
1196a4a0126
1249754a000
1326b996014
141582cac24
15c13d5da3
hex7b103380

2064659328 has 128 divisors (see below), whose sum is σ = 6118041600. Its totient is φ = 685463040.

The previous prime is 2064659309. The next prime is 2064659347. The reversal of 2064659328 is 8239564602.

It is an interprime number because it is at equal distance from previous prime (2064659309) and next prime (2064659347).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976993 + ... + 979103.

It is an arithmetic number, because the mean of its divisors is an integer number (47797200).

Almost surely, 22064659328 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 2064659328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059020800).

2064659328 is an abundant number, since it is smaller than the sum of its proper divisors (4053382272).

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

2064659328 is a wasteful number, since it uses less digits than its factorization.

2064659328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2064659328 is about 45438.5225111909. The cubic root of 2064659328 is about 1273.3549108362.

The spelling of 2064659328 in words is "two billion, sixty-four million, six hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 283 288 384 432 566 576 849 864 1132 1152 1698 1728 2111 2264 2547 3396 3456 4222 4528 5094 6333 6792 7641 8444 9056 10188 12666 13584 15282 16888 18112 18999 20376 25332 27168 30564 33776 36224 37998 40752 50664 54336 56997 61128 67552 75996 81504 101328 108672 113994 122256 135104 151992 163008 202656 227988 244512 270208 303984 326016 405312 455976 489024 597413 607968 810624 911952 978048 1194826 1215936 1792239 1823904 2389652 2431872 3584478 3647808 4779304 5376717 7168956 7295616 9558608 10753434 14337912 16130151 19117216 21506868 28675824 32260302 38234432 43013736 57351648 64520604 76468864 86027472 114703296 129041208 172054944 229406592 258082416 344109888 516164832 688219776 1032329664 2064659328