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641720475 = 375211297
BaseRepresentation
bin100110001111111…
…110000010011011
31122201111210000000
4212033332002123
52303240023400
6143402144043
721621351114
oct4617760233
91581453000
10641720475
112aa264100
1215aab2023
13a2c45576
146132720b
153b50e600
hex263fe09b

641720475 has 144 divisors (see below), whose sum is σ = 1325297120. Its totient is φ = 307929600.

The previous prime is 641720461. The next prime is 641720531. The reversal of 641720475 is 574027146.

641720475 is a `hidden beast` number, since 641 + 7 + 2 + 0 + 4 + 7 + 5 = 666.

It is not a de Polignac number, because 641720475 - 216 = 641654939 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6615627 + ... + 6615723.

Almost surely, 2641720475 is an apocalyptic number.

641720475 is an abundant number, since it is smaller than the sum of its proper divisors (683576645).

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

641720475 is an equidigital number, since it uses as much as digits as its factorization.

641720475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 641720475 is about 25332.2023322095. The cubic root of 641720475 is about 862.5454040370.

The spelling of 641720475 in words is "six hundred forty-one million, seven hundred twenty thousand, four hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 97 99 121 135 165 225 243 275 291 297 363 405 485 495 605 675 729 825 873 891 1067 1089 1215 1455 1485 1815 2025 2187 2425 2475 2619 2673 3025 3201 3267 3645 4365 4455 5335 5445 6075 7275 7425 7857 8019 9075 9603 9801 10935 11737 13095 13365 16005 16335 18225 21825 22275 23571 24057 26675 27225 28809 29403 35211 39285 40095 48015 49005 54675 58685 65475 66825 70713 80025 81675 86427 88209 105633 117855 120285 144045 147015 176055 196425 200475 212139 240075 245025 259281 264627 293425 316899 353565 432135 441045 528165 589275 601425 720225 735075 777843 880275 950697 1060695 1296405 1323135 1584495 1767825 2160675 2205225 2333529 2640825 2852091 3889215 4753485 5303475 6482025 6615675 7922475 8556273 11667645 14260455 19446075 23767425 25668819 42781365 58338225 71302275 128344095 213906825 641720475