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55437266142720 = 293457112439719
BaseRepresentation
bin11001001101011011111101…
…00011100100011000000000
321021021202021101122221220000
430212231332203210120000
524231241010113031340
6313523310052520000
714451132064156560
oct1446557643443000
9237252241587800
1055437266142720
11167338a3544600
126274144320000
1324c19339987a7
14d9926c5d6da0
156620b573ed30
hex326b7e8e4600

55437266142720 has 2400 divisors, whose sum is σ = 250345076889600. Its totient is φ = 11477206794240.

The previous prime is 55437266142703. The next prime is 55437266142737. The reversal of 55437266142720 is 2724166273455.

55437266142720 is a `hidden beast` number, since 5 + 5 + 4 + 372 + 66 + 142 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55437266142703) and next prime (55437266142737).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 77103290521 + ... + 77103291239.

It is an arithmetic number, because the mean of its divisors is an integer number (104310448704).

Almost surely, 255437266142720 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 55437266142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125172538444800).

55437266142720 is an abundant number, since it is smaller than the sum of its proper divisors (194907810746880).

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

55437266142720 is a wasteful number, since it uses less digits than its factorization.

55437266142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 55437266142720 in words is "fifty-five trillion, four hundred thirty-seven billion, two hundred sixty-six million, one hundred forty-two thousand, seven hundred twenty".