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2628071685 = 3251371492861
BaseRepresentation
bin1001110010100101…
…0011000100000101
320210011011212121100
42130221103010011
520340241243220
61112440410313
7122061145401
oct23451230405
96704155540
102628071685
111129529178
12614176999
1332b621305
141ad06c101
15105ac7d90
hex9ca53105

2628071685 has 48 divisors (see below), whose sum is σ = 4620985200. Its totient is φ = 1381585920.

The previous prime is 2628071683. The next prime is 2628071687. The reversal of 2628071685 is 5861708262.

2628071685 is a `hidden beast` number, since 2 + 628 + 0 + 7 + 16 + 8 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2628071683) and next prime (2628071687).

It can be written as a sum of positive squares in 8 ways, for example, as 120165444 + 2507906241 = 10962^2 + 50079^2 .

It is not a de Polignac number, because 2628071685 - 21 = 2628071683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2628071685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628071681) 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 47 ways as a sum of consecutive naturals, for example, 917155 + ... + 920015.

It is an arithmetic number, because the mean of its divisors is an integer number (96270525).

Almost surely, 22628071685 is an apocalyptic number.

It is an amenable number.

2628071685 is a deficient number, since it is larger than the sum of its proper divisors (1992913515).

2628071685 is a wasteful number, since it uses less digits than its factorization.

2628071685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2628071685 is about 51264.7216416904. The cubic root of 2628071685 is about 1379.9999448645. Note that the first 4 decimals are identical.

The spelling of 2628071685 in words is "two billion, six hundred twenty-eight million, seventy-one thousand, six hundred eighty-five".

Divisors: 1 3 5 9 15 45 137 149 411 447 685 745 1233 1341 2055 2235 2861 6165 6705 8583 14305 20413 25749 42915 61239 102065 128745 183717 306195 391957 426289 918585 1175871 1278867 1959785 2131445 3527613 3836601 5879355 6394335 17638065 19183005 58401593 175204779 292007965 525614337 876023895 2628071685