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1364164065 = 335111754037
BaseRepresentation
bin101000101001111…
…0111110111100001
310112001220201022000
41101103313313201
510243211222230
6343210434213
745543126465
oct12123676741
93461821260
101364164065
11640042720
12320a32969
13189812394
14cd2644a5
157eb66b60
hex514f7de1

1364164065 has 64 divisors (see below), whose sum is σ = 2801329920. Its totient is φ = 622494720.

The previous prime is 1364164057. The next prime is 1364164073. The reversal of 1364164065 is 5604614631.

It is a happy number.

1364164065 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 1 + 640 + 6 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1364164057) and next prime (1364164073).

It is not a de Polignac number, because 1364164065 - 23 = 1364164057 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1774 + ... + 52263.

It is an arithmetic number, because the mean of its divisors is an integer number (43770780).

Almost surely, 21364164065 is an apocalyptic number.

1364164065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1364164065 is an abundant number, since it is smaller than the sum of its proper divisors (1437165855).

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

1364164065 is a wasteful number, since it uses less digits than its factorization.

1364164065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54079 (or 54073 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1364164065 is about 36934.5917129187. The cubic root of 1364164065 is about 1109.0612589117.

Adding to 1364164065 its reverse (5604614631), we get a palindrome (6968778696).

The spelling of 1364164065 in words is "one billion, three hundred sixty-four million, one hundred sixty-four thousand, sixty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 85 99 135 153 165 187 255 297 459 495 561 765 935 1485 1683 2295 2805 5049 8415 25245 54037 162111 270185 486333 594407 810555 918629 1458999 1783221 2431665 2755887 2972035 4593145 5349663 7294995 8267661 8916105 10104919 13779435 16048989 24802983 26748315 30314757 41338305 50524595 80244945 90944271 124014915 151573785 272832813 454721355 1364164065