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55219304448 = 211357112131
BaseRepresentation
bin110011011011010100…
…111011100000000000
312021112022212022100000
4303123110323200000
51401042120220243
641211205200000
73663246225540
oct633324734000
9167468768300
1055219304448
1121466948800
12a850a00000
135290184559
14295b99b320
151682bba5d3
hexcdb53b800

55219304448 has 864 divisors, whose sum is σ = 209348979840. Its totient is φ = 14233190400.

The previous prime is 55219304381. The next prime is 55219304467. The reversal of 55219304448 is 84440391255.

55219304448 is a `hidden beast` number, since 552 + 1 + 93 + 0 + 4 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 421521343 + ... + 421521473.

It is an arithmetic number, because the mean of its divisors is an integer number (242302060).

Almost surely, 255219304448 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 55219304448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104674489920).

55219304448 is an abundant number, since it is smaller than the sum of its proper divisors (154129675392).

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

55219304448 is a wasteful number, since it uses less digits than its factorization.

55219304448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 55219304448 in words is "fifty-five billion, two hundred nineteen million, three hundred four thousand, four hundred forty-eight".