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2164065525 = 335253241251
BaseRepresentation
bin1000000011111101…
…0000010011110101
312120211001220211000
42000333100103311
513413000044100
6554423233513
7104425152636
oct20077202365
95524056730
102164065525
11a10616506
125048a8899
1328645c45b
141675a588d
15c9ebe900
hex80fd04f5

2164065525 has 96 divisors (see below), whose sum is σ = 4083488640. Its totient is φ = 1123200000.

The previous prime is 2164065517. The next prime is 2164065539. The reversal of 2164065525 is 5255604612.

2164065525 is a `hidden beast` number, since 2 + 1 + 640 + 6 + 5 + 5 + 2 + 5 = 666.

It is not a de Polignac number, because 2164065525 - 23 = 2164065517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2164065525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8621650 + ... + 8621900.

It is an arithmetic number, because the mean of its divisors is an integer number (42536340).

Almost surely, 22164065525 is an apocalyptic number.

2164065525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2164065525 is a deficient number, since it is larger than the sum of its proper divisors (1919423115).

2164065525 is a wasteful number, since it uses less digits than its factorization.

2164065525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2164065525 is about 46519.5176780671. The cubic root of 2164065525 is about 1293.4713157348.

The spelling of 2164065525 in words is "two billion, one hundred sixty-four million, sixty-five thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 53 75 135 159 225 241 251 265 477 675 723 753 795 1205 1255 1325 1431 2169 2259 2385 3615 3765 3975 6025 6275 6507 6777 7155 10845 11295 11925 12773 13303 18075 18825 32535 33885 35775 38319 39909 54225 56475 60491 63865 66515 114957 119727 162675 169425 181473 191595 199545 302455 319325 332575 344871 359181 544419 574785 598635 907365 957975 997725 1512275 1633257 1724355 1795905 2722095 2873925 2993175 3206023 4536825 8166285 8621775 8979525 9618069 13610475 16030115 28854207 40831425 48090345 80150575 86562621 144271035 240451725 432813105 721355175 2164065525