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51164725248000 = 21733537133141
BaseRepresentation
bin10111010001000101101110…
…10001100000000000000000
320201011022002200012022022000
423220202313101200000000
523201240324130414000
6300452430021344000
713530346405605450
oct1350426721400000
9221138080168260
1051164725248000
11153369245a4981
1258a4096b68000
132271a74bb9260
14c8c558d45d60
155dada2ae7000
hex2e88b7460000

51164725248000 has 4608 divisors, whose sum is σ = 246229535784960. Its totient is φ = 10192158720000.

The previous prime is 51164725247989. The next prime is 51164725248011. The reversal of 51164725248000 is 84252746115.

51164725248000 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 47 + 2 + 524 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51164725247989) and next prime (51164725248011).

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-5 number, since 5×511647252480005 (a number of 70 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1247920127980 + ... + 1247920128020.

It is an arithmetic number, because the mean of its divisors is an integer number (53435229120).

Almost surely, 251164725248000 is an apocalyptic number.

51164725248000 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 51164725248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123114767892480).

51164725248000 is an abundant number, since it is smaller than the sum of its proper divisors (195064810536960).

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

51164725248000 is an equidigital number, since it uses as much as digits as its factorization.

51164725248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 51164725248000 in words is "fifty-one trillion, one hundred sixty-four billion, seven hundred twenty-five million, two hundred forty-eight thousand".