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55354428019800 = 2332527132251103567
BaseRepresentation
bin11001001011000001101010…
…00001001101010001011000
321020222211110021010022011100
430211200311001031101120
524223411332033113200
6313421250112231400
714442140220560250
oct1445406501152130
9236884407108140
1055354428019800
1116701754591798
126260085b3b560
1324b6b91879400
14d95250952960
1565ed68005d00
hex32583504d458

55354428019800 has 864 divisors, whose sum is σ = 230974221703680. Its totient is φ = 11632533120000.

The previous prime is 55354428019789. The next prime is 55354428019837. The reversal of 55354428019800 is 891082445355.

55354428019800 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 442 + 8 + 0 + 198 + 0 + 0 = 666.

It is a super-2 number, since 2×553544280198002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 534427617 + ... + 534531183.

It is an arithmetic number, because the mean of its divisors is an integer number (267331275120).

Almost surely, 255354428019800 is an apocalyptic number.

55354428019800 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 55354428019800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115487110851840).

55354428019800 is an abundant number, since it is smaller than the sum of its proper divisors (175619793683880).

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

55354428019800 is a wasteful number, since it uses less digits than its factorization.

55354428019800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103873 (or 103848 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 55354428019800 in words is "fifty-five trillion, three hundred fifty-four billion, four hundred twenty-eight million, nineteen thousand, eight hundred".