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55854346240 = 212571135419
BaseRepresentation
bin110100000001001011…
…011011000000000000
312100011120210202220101
4310001023123000000
51403342203034430
641354212252144
74015060052410
oct640113330000
9170146722811
1055854346240
1121762360030
12a9a9611054
1353618cbc24
1429bc066640
1516bd80adca
hexd012db000

55854346240 has 208 divisors, whose sum is σ = 167112126720. Its totient is φ = 17408655360.

The previous prime is 55854346211. The next prime is 55854346241. The reversal of 55854346240 is 4264345855.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (55854346241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1559251 + ... + 1594669.

Almost surely, 255854346240 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 55854346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83556063360).

55854346240 is an abundant number, since it is smaller than the sum of its proper divisors (111257780480).

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

55854346240 is a wasteful number, since it uses less digits than its factorization.

55854346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35466 (or 35444 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 46.

The spelling of 55854346240 in words is "fifty-five billion, eight hundred fifty-four million, three hundred forty-six thousand, two hundred forty".