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2605249864 = 237171031632
BaseRepresentation
bin1001101101001000…
…1111010101001000
320201120020101221201
42123102033111020
520313420443424
61110303313544
7121363154440
oct23322172510
96646211851
102605249864
111117660868
126085ab8b4
13326990689
141aa00b120
15103abad44
hex9b48f548

2605249864 has 96 divisors (see below), whose sum is σ = 6005301120. Its totient is φ = 1034270208.

The previous prime is 2605249861. The next prime is 2605249897. The reversal of 2605249864 is 4689425062.

It is not an unprimeable number, because it can be changed into a prime (2605249861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15983047 + ... + 15983209.

It is an arithmetic number, because the mean of its divisors is an integer number (62555220).

Almost surely, 22605249864 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 2605249864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002650560).

2605249864 is an abundant number, since it is smaller than the sum of its proper divisors (3400051256).

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

2605249864 is a wasteful number, since it uses less digits than its factorization.

2605249864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The square root of 2605249864 is about 51041.6483276158. The cubic root of 2605249864 is about 1375.9937479998.

The spelling of 2605249864 in words is "two billion, six hundred five million, two hundred forty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 103 119 136 163 206 238 326 412 476 652 721 824 952 1141 1304 1442 1751 2282 2771 2884 3502 4564 5542 5768 7004 9128 11084 12257 14008 16789 19397 22168 24514 26569 33578 38794 49028 53138 67156 77588 98056 106276 117523 134312 155176 185983 212552 235046 285413 371966 451673 470092 570826 743932 903346 940184 1141652 1487864 1806692 1997891 2283304 2736607 3161711 3613384 3995782 5473214 6323422 7991564 10946428 12646844 15983128 19156249 21892856 25293688 38312498 46522319 76624996 93044638 153249992 186089276 325656233 372178552 651312466 1302624932 2605249864