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55481131896960 = 27357113112105749
BaseRepresentation
bin11001001110101101101010…
…01010001001000010000000
321021102221111110211011021110
430213112311022021002000
524233000324231200320
6313555402524123320
714454244112011110
oct1447266512110200
9237387443734243
1055481131896960
1116750463624a60
126280746996540
1324c5b048c85a3
14d9b430371040
156632d17d05e0
hex3275b5289080

55481131896960 has 512 divisors, whose sum is σ = 227595847680000. Its totient is φ = 11156657356800.

The previous prime is 55481131896907. The next prime is 55481131896989. The reversal of 55481131896960 is 6969813118455.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 55481131896891 and 55481131896900.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1469835 + ... + 10635914.

It is an arithmetic number, because the mean of its divisors is an integer number (444523140000).

Almost surely, 255481131896960 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 55481131896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113797923840000).

55481131896960 is an abundant number, since it is smaller than the sum of its proper divisors (172114715783040).

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

55481131896960 is a wasteful number, since it uses less digits than its factorization.

55481131896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12105820 (or 12105808 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 66.

The spelling of 55481131896960 in words is "fifty-five trillion, four hundred eighty-one billion, one hundred thirty-one million, eight hundred ninety-six thousand, nine hundred sixty".