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53820325278720 = 2103257211131931283
BaseRepresentation
bin11000011110011000001010…
…10111101011010000000000
321001120011200000011102100100
430033030011113223100000
524023243011232404340
6310244414402322400
714223250555456500
oct1417140527532000
9231504600142310
1053820325278720
1116170087588270
1260528a6059400
1324053090b5c90
14d40cbc021a00
15634ecbc65830
hex30f3055eb400

53820325278720 has 6336 divisors, whose sum is σ = 277904063324160. Its totient is φ = 9430931865600.

The previous prime is 53820325278703. The next prime is 53820325278761. The reversal of 53820325278720 is 2787252302835.

It is a happy number.

53820325278720 is a `hidden beast` number, since 5 + 3 + 8 + 2 + 0 + 32 + 527 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 190177827699 + ... + 190177827981.

Almost surely, 253820325278720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53820325278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138952031662080).

53820325278720 is an abundant number, since it is smaller than the sum of its proper divisors (224083738045440).

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

53820325278720 is a wasteful number, since it uses less digits than its factorization.

53820325278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

It can be divided in two parts, 53820325 and 278720, that added together give a palindrome (54099045).

The spelling of 53820325278720 in words is "fifty-three trillion, eight hundred twenty billion, three hundred twenty-five million, two hundred seventy-eight thousand, seven hundred twenty".