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55408066560 = 21832571161
BaseRepresentation
bin110011100110100101…
…000000000000000000
312022000111001102021100
4303212211000000000
51401433431112220
641242031054400
74001030536440
oct634645000000
9168014042240
1055408066560
1121553455550
12a8a4071400
1352c0305702
142978a96120
151694554d90
hexce6940000

55408066560 has 912 divisors, whose sum is σ = 243403385472. Its totient is φ = 11324620800.

The previous prime is 55408066559. The next prime is 55408066633. The reversal of 55408066560 is 6566080455.

It is a happy number.

55408066560 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 80 + 6 + 6 + 560 = 666.

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 47 ways as a sum of consecutive naturals, for example, 908328930 + ... + 908328990.

Almost surely, 255408066560 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 55408066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121701692736).

55408066560 is an abundant number, since it is smaller than the sum of its proper divisors (187995318912).

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

55408066560 is an equidigital number, since it uses as much as digits as its factorization.

55408066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 55408066560 in words is "fifty-five billion, four hundred eight million, sixty-six thousand, five hundred sixty".