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55544832000 = 21333537241
BaseRepresentation
bin110011101110101110…
…101110000000000000
312022101000101211012000
4303232232232000000
51402223434111000
641303354304000
74004311165500
oct635656560000
9168330354160
1055544832000
1121613678439
12a921a28000
13531274c6c8
14298ccd7a00
1516a156d000
hexceebae000

55544832000 has 1344 divisors, whose sum is σ = 244738428480. Its totient is φ = 12386304000.

The previous prime is 55544831983. The next prime is 55544832017. The reversal of 55544832000 is 23844555.

55544832000 is a `hidden beast` number, since 5 + 5 + 5 + 448 + 3 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55544831983) and next prime (55544832017).

It is a tau number, because it is divible by the number of its divisors (1344).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1354751980 + ... + 1354752020.

It is an arithmetic number, because the mean of its divisors is an integer number (182097045).

Almost surely, 255544832000 is an apocalyptic number.

55544832000 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 55544832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122369214240).

55544832000 is an abundant number, since it is smaller than the sum of its proper divisors (189193596480).

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

55544832000 is an equidigital number, since it uses as much as digits as its factorization.

55544832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 55544832000 in words is "fifty-five billion, five hundred forty-four million, eight hundred thirty-two thousand".