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4490126685 = 3251124120113
BaseRepresentation
bin1000010111010000…
…11110010101011101
3102120220222001212100
410023220132111131
533143433023220
62021314555313
7216161306232
oct41350362535
912526861770
104490126685
1119a4617700
12a53898b39
1356732a7c5
14308499789
151b42dcd90
hex10ba1e55d

4490126685 has 72 divisors (see below), whose sum is σ = 8763830712. Its totient is φ = 2123827200.

The previous prime is 4490126659. The next prime is 4490126687. The reversal of 4490126685 is 5866210944.

4490126685 is a `hidden beast` number, since 449 + 0 + 126 + 6 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 229431609 + 4260695076 = 15147^2 + 65274^2 .

It is not a de Polignac number, because 4490126685 - 211 = 4490124637 is a prime.

It is a super-2 number, since 2×44901266852 = 40322475294698178450, which contains 22 as substring.

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 4490126685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4490126687) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 213189 + ... + 233301.

It is an arithmetic number, because the mean of its divisors is an integer number (121719871).

Almost surely, 24490126685 is an apocalyptic number.

4490126685 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4490126685 is a deficient number, since it is larger than the sum of its proper divisors (4273704027).

4490126685 is a wasteful number, since it uses less digits than its factorization.

4490126685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20187 (or 20173 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4490126685 is about 67008.4075694983. The cubic root of 4490126685 is about 1649.7552970445.

The spelling of 4490126685 in words is "four billion, four hundred ninety million, one hundred twenty-six thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 121 123 165 205 363 369 451 495 605 615 1089 1353 1815 1845 2255 4059 4961 5445 6765 14883 20113 20295 24805 44649 60339 74415 100565 181017 221243 223245 301695 663729 824633 905085 1106215 1991187 2433673 2473899 3318645 4123165 7301019 7421697 9070963 9955935 12168365 12369495 21903057 27212889 36505095 37108485 45354815 81638667 99780593 109515285 136064445 299341779 408193335 498902965 898025337 1496708895 4490126685