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53452025763840 = 211345112618731
BaseRepresentation
bin11000010011101010001010…
…00000100001100000000000
321000020222000120122112210000
430021311011000201200000
524001224222043420330
6305403304401440000
714154532012320054
oct1411650500414000
9230228016575700
1053452025763840
1116038971063600
125bb343b340000
1323a9673229052
14d2b140077c64
1562a6233e3560
hex309d45021800

53452025763840 has 1440 divisors, whose sum is σ = 214065945933840. Its totient is φ = 12744179712000.

The previous prime is 53452025763793. The next prime is 53452025763847. The reversal of 53452025763840 is 4836752025435.

53452025763840 is a `hidden beast` number, since 5 + 3 + 4 + 5 + 2 + 0 + 257 + 6 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53452025763847) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 6122092275 + ... + 6122101005.

Almost surely, 253452025763840 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 53452025763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107032972966920).

53452025763840 is an abundant number, since it is smaller than the sum of its proper divisors (160613920170000).

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

53452025763840 is a wasteful number, since it uses less digits than its factorization.

53452025763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8853 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 53452025763840 in words is "fifty-three trillion, four hundred fifty-two billion, twenty-five million, seven hundred sixty-three thousand, eight hundred forty".