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53342430964065 = 3257612053758729
BaseRepresentation
bin11000010000011110000001…
…01001100010100101100001
320222212111010201200212121200
430020033000221202211201
523442430244311322230
6305241101404511413
714143602111020265
oct1410170051424541
9228774121625550
1053342430964065
1115aa6441710411
125b9615424b569
13239c2289716b9
14d25b04a100a5
1562785bb8a160
hex3083c0a62961

53342430964065 has 48 divisors (see below), whose sum is σ = 92626929879120. Its totient is φ = 28398035773440.

The previous prime is 53342430964063. The next prime is 53342430964093. The reversal of 53342430964065 is 56046903424335.

53342430964065 is a `hidden beast` number, since 5 + 3 + 3 + 424 + 30 + 96 + 40 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5468638374144 + 47873792589921 = 2338512^2 + 6919089^2 .

It is not a de Polignac number, because 53342430964065 - 21 = 53342430964063 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53342430964063) 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 47 ways as a sum of consecutive naturals, for example, 69925621 + ... + 70684349.

It is an arithmetic number, because the mean of its divisors is an integer number (1929727705815).

Almost surely, 253342430964065 is an apocalyptic number.

It is an amenable number.

53342430964065 is a deficient number, since it is larger than the sum of its proper divisors (39284498915055).

53342430964065 is a wasteful number, since it uses less digits than its factorization.

53342430964065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761554 (or 761551 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 53342430964065 in words is "fifty-three trillion, three hundred forty-two billion, four hundred thirty million, nine hundred sixty-four thousand, sixty-five".

Divisors: 1 3 5 9 15 45 761 2053 2283 3805 6159 6849 10265 11415 18477 30795 34245 92385 758729 1562333 2276187 3793645 4686999 6828561 7811665 11380935 14060997 23434995 34142805 70304985 577392769 1557670637 1732178307 2886963845 4673011911 5196534921 7788353185 8660891535 14019035733 23365059555 25982674605 70095178665 1185387354757 3556162064271 5926936773785 10668486192813 17780810321355 53342430964065