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53148160800000 = 283355717232931
BaseRepresentation
bin11000001010110100001010…
…01111101011010100000000
320222011220200201010000101000
430011122011033223110000
523431234413131100000
6305011532241012000
714123553653615310
oct1405320517532400
9228156621100330
1053148160800000
1115a31010224812
125b64577624000
132386b087688b6
14d1a5558d3440
1562278b785000
hex3056853eb500

53148160800000 has 6912 divisors, whose sum is σ = 264885446246400. Its totient is φ = 10218700800000.

The previous prime is 53148160799897. The next prime is 53148160800061. The reversal of 53148160800000 is 806184135.

53148160800000 is a `hidden beast` number, since 5 + 3 + 1 + 48 + 1 + 608 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 767 ways as a sum of consecutive naturals, for example, 1714456799985 + ... + 1714456800015.

It is an arithmetic number, because the mean of its divisors is an integer number (38322547200).

Almost surely, 253148160800000 is an apocalyptic number.

53148160800000 is a gapful number since it is divisible by the number (50) 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 53148160800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132442723123200).

53148160800000 is an abundant number, since it is smaller than the sum of its proper divisors (211737285446400).

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

53148160800000 is a wasteful number, since it uses less digits than its factorization.

53148160800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 53148160800000 its reverse (806184135), we get a palindrome (53148966984135).

The spelling of 53148160800000 in words is "fifty-three trillion, one hundred forty-eight billion, one hundred sixty million, eight hundred thousand".