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53436912482304 = 2113313219595101
BaseRepresentation
bin11000010011001110000000…
…01011111011100000000000
321000012112000022100022001000
430021213000023323200000
524001002244043413204
6305352324555412000
714153455335460551
oct1411470013734000
9230175008308030
1053436912482304
1116032515aa948a
125bb0521a54000
1323a8105099100
14d2a508ba6328
1562a03b6a4039
hex3099c02fb800

53436912482304 has 1152 divisors, whose sum is σ = 183521388960000. Its totient is φ = 15309737164800.

The previous prime is 53436912482293. The next prime is 53436912482311. The reversal of 53436912482304 is 40328421963435.

53436912482304 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 6 + 91 + 248 + 2 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×534369124823042 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10475769354 + ... + 10475774454.

It is an arithmetic number, because the mean of its divisors is an integer number (159306761250).

Almost surely, 253436912482304 is an apocalyptic number.

53436912482304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53436912482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91760694480000).

53436912482304 is an abundant number, since it is smaller than the sum of its proper divisors (130084476477696).

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

53436912482304 is a wasteful number, since it uses less digits than its factorization.

53436912482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5236 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 53436912482304 in words is "fifty-three trillion, four hundred thirty-six billion, nine hundred twelve million, four hundred eighty-two thousand, three hundred four".