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6457000725 = 3352731672
BaseRepresentation
bin1100000001101111…
…00000001100010101
3121122222222121211000
412000313200030111
5101210443010400
62544415533513
7316003413000
oct60067401425
917588877730
106457000725
11281389923a
12130252a299
137bb9770b6
144537b0537
1527bd0a600
hex180de0315

6457000725 has 144 divisors (see below), whose sum is σ = 13916272000. Its totient is φ = 2934096480.

The previous prime is 6457000709. The next prime is 6457000727. The reversal of 6457000725 is 5270007546.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6457000725 is a `hidden beast` number, since 64 + 570 + 0 + 0 + 7 + 25 = 666.

It is not a de Polignac number, because 6457000725 - 24 = 6457000709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6457000725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6457000727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38664592 + ... + 38664758.

Almost surely, 26457000725 is an apocalyptic number.

It is an amenable number.

6457000725 is an abundant number, since it is smaller than the sum of its proper divisors (7459271275).

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

6457000725 is an equidigital number, since it uses as much as digits as its factorization.

6457000725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 6457000725 is about 80355.4648110507. The cubic root of 6457000725 is about 1862.1312069526.

The spelling of 6457000725 in words is "six billion, four hundred fifty-seven million, seven hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 167 175 189 225 245 315 343 441 501 525 675 735 835 945 1029 1169 1225 1323 1503 1575 1715 2205 2505 3087 3507 3675 4175 4509 4725 5145 5845 6615 7515 8183 8575 9261 10521 11025 12525 15435 17535 22545 24549 25725 27889 29225 31563 33075 37575 40915 46305 52605 57281 73647 77175 83667 87675 112725 122745 139445 157815 171843 195223 204575 220941 231525 251001 263025 286405 368235 418335 515529 585669 613725 697225 753003 789075 859215 976115 1104705 1255005 1366561 1432025 1546587 1757007 1841175 2091675 2577645 2928345 3765015 4099683 4296075 4880575 5271021 5523525 6275025 6832805 7732935 8785035 9565927 12299049 12888225 14641725 18825075 20498415 26355105 28697781 34164025 36897147 38664675 43925175 47829635 61495245 86093343 102492075 131775525 143488905 184485735 239148175 258280029 307476225 430466715 717444525 922428675 1291400145 2152333575 6457000725