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1364185485 = 325131728069
BaseRepresentation
bin101000101001111…
…1101000110001101
310112001221210200100
41101103331012031
510243212413420
6343211121313
745543246105
oct12123750615
93461853610
101364185485
11640057823
12320a43239
1318981c060
14cd26c205
157eb6d190
hex514fd18d

1364185485 has 72 divisors (see below), whose sum is σ = 2705419080. Its totient is φ = 632014848.

The previous prime is 1364185483. The next prime is 1364185489. The reversal of 1364185485 is 5845814631.

It can be written as a sum of positive squares in 12 ways, for example, as 610188804 + 753996681 = 24702^2 + 27459^2 .

It is not a de Polignac number, because 1364185485 - 21 = 1364185483 is a prime.

It is a super-2 number, since 2×13641854852 = 3722004074969370450, 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 1364185485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364185483) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 165031 + ... + 173099.

It is an arithmetic number, because the mean of its divisors is an integer number (37575265).

Almost surely, 21364185485 is an apocalyptic number.

1364185485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1364185485 is a deficient number, since it is larger than the sum of its proper divisors (1341233595).

1364185485 is a wasteful number, since it uses less digits than its factorization.

1364185485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8127 (or 8107 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 1364185485 is about 36934.8816838500. The cubic root of 1364185485 is about 1109.0670636797.

The spelling of 1364185485 in words is "one billion, three hundred sixty-four million, one hundred eighty-five thousand, four hundred eighty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 289 585 663 765 867 1105 1445 1989 2601 3315 3757 4335 8069 9945 11271 13005 18785 24207 33813 40345 56355 72621 104897 121035 137173 169065 314691 363105 411519 524485 685865 944073 1234557 1573455 1783249 2057595 2331941 4720365 5349747 6172785 6995823 8916245 11659705 16049241 20987469 26748735 30315233 34979115 80246205 90945699 104937345 151576165 272837097 454728495 1364185485