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1611059044 = 2272472612
BaseRepresentation
bin110000000000110…
…1100111101100100
311011021111021112111
41200001230331210
511244412342134
6423510330404
754631530100
oct14001547544
94137437474
101611059044
11757445561
1238b659a04
131c8a0869a
14113d72900
1596685c64
hex6006cf64

1611059044 has 81 divisors (see below), whose sum is σ = 3406754169. Its totient is φ = 664685280.

The previous prime is 1611059033. The next prime is 1611059053. The reversal of 1611059044 is 4409501161.

The square root of 1611059044 is 40138.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52388644 + 1558670400 = 7238^2 + 39480^2 .

It is a super-2 number, since 2×16110590442 = 5191022486508387872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1611058997 and 1611059015.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 26410774 + ... + 26410834.

Almost surely, 21611059044 is an apocalyptic number.

1611059044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1611059044 is the 40138-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1611059044

1611059044 is an abundant number, since it is smaller than the sum of its proper divisors (1795695125).

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

1611059044 is an equidigital number, since it uses as much as digits as its factorization.

1611059044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The cubic root of 1611059044 is about 1172.2956471659.

The spelling of 1611059044 in words is "one billion, six hundred eleven million, fifty-nine thousand, forty-four".

Divisors: 1 2 4 7 14 28 47 49 61 94 98 122 188 196 244 329 427 658 854 1316 1708 2209 2303 2867 2989 3721 4418 4606 5734 5978 7442 8836 9212 11468 11956 14884 15463 20069 26047 30926 40138 52094 61852 80276 104188 108241 134749 140483 174887 182329 216482 269498 280966 349774 364658 432964 538996 561932 699548 729316 943243 1224209 1886486 2448418 3772972 4896836 6602701 8219689 8569463 13205402 16439378 17138926 26410804 32878756 34277852 57537823 115075646 230151292 402764761 805529522 1611059044