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6457661245 = 572375313441
BaseRepresentation
bin1100000001110100…
…00001011100111101
3121200001020011212201
412000322001130331
5101211130124440
62544442031501
7316012133500
oct60072013475
917601204781
106457661245
1128141aa522
1213027a8591
137bbb48939
14453903137
1527bddb19a
hex180e8173d

6457661245 has 48 divisors (see below), whose sum is σ = 9433380528. Its totient is φ = 4226826240.

The previous prime is 6457661227. The next prime is 6457661261. The reversal of 6457661245 is 5421667546.

It can be written as a sum of positive squares in 8 ways, for example, as 30272004 + 6427389241 = 5502^2 + 80171^2 .

It is not a de Polignac number, because 6457661245 - 219 = 6457136957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6457661195 and 6457661204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473725 + ... + 487165.

It is an arithmetic number, because the mean of its divisors is an integer number (196528761).

Almost surely, 26457661245 is an apocalyptic number.

It is an amenable number.

6457661245 is a deficient number, since it is larger than the sum of its proper divisors (2975719283).

6457661245 is a wasteful number, since it uses less digits than its factorization.

6457661245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13550 (or 13543 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The square root of 6457661245 is about 80359.5746939965. The cubic root of 6457661245 is about 1862.1947004650.

The spelling of 6457661245 in words is "six billion, four hundred fifty-seven million, six hundred sixty-one thousand, two hundred forty-five".

Divisors: 1 5 7 35 37 49 53 185 245 259 265 371 1295 1813 1855 1961 2597 9065 9805 12985 13441 13727 67205 68635 94087 96089 470435 480445 497317 658609 712373 2486585 3293045 3481219 3561865 4986611 17406095 24368533 24933055 26357801 34906277 121842665 131789005 174531385 184504607 922523035 1291532249 6457661245