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55447242141200 = 24527135632705641
BaseRepresentation
bin11001001101101110100010…
…01010111110111000010000
321021022201000122021012010012
430212313101022332320100
524231421422442004300
6313532040021054052
714451634230565340
oct1446672112767020
9237281018235105
1055447242141200
1116738052755948
126276069257328
1324c2863701380
14d999374acd20
1566249b45b435
hex326dd12bee10

55447242141200 has 240 divisors, whose sum is σ = 164244504095616. Its totient is φ = 17516962713600.

The previous prime is 55447242141089. The next prime is 55447242141281. The reversal of 55447242141200 is 214124274455.

55447242141200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×554472421412002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19140380 + ... + 21846020.

Almost surely, 255447242141200 is an apocalyptic number.

55447242141200 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 55447242141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82122252047808).

55447242141200 is an abundant number, since it is smaller than the sum of its proper divisors (108797261954416).

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

55447242141200 is a wasteful number, since it uses less digits than its factorization.

55447242141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706242 (or 2706231 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 41.

The spelling of 55447242141200 in words is "fifty-five trillion, four hundred forty-seven billion, two hundred forty-two million, one hundred forty-one thousand, two hundred".