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55827343104 = 28313191511949
BaseRepresentation
bin110011111111100100…
…011010011100000000
312100002200222212120020
4303333210122130000
51403313244434404
641351405413440
74014311405151
oct637744323400
9170080885506
1055827343104
1121749097195
12a9a056a280
135359136040
1429b8637928
1516bb274ed9
hexcff91a700

55827343104 has 288 divisors, whose sum is σ = 169635648000. Its totient is φ = 16157491200.

The previous prime is 55827343093. The next prime is 55827343111. The reversal of 55827343104 is 40134372855.

55827343104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28643122 + ... + 28645070.

Almost surely, 255827343104 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 55827343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84817824000).

55827343104 is an abundant number, since it is smaller than the sum of its proper divisors (113808304896).

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

55827343104 is a wasteful number, since it uses less digits than its factorization.

55827343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 55827343104 in words is "fifty-five billion, eight hundred twenty-seven million, three hundred forty-three thousand, one hundred four".