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55193315328 = 211336116363
BaseRepresentation
bin110011011001110001…
…110010100000000000
312021110111221220222000
4303121301302200000
51401013442042303
641204440144000
73662512303524
oct633161624000
9167414856860
1055193315328
1121453207798
12a844168000
135287985088
142958353d84
151680784da3
hexcd9c72800

55193315328 has 192 divisors, whose sum is σ = 166186238400. Its totient is φ = 18095063040.

The previous prime is 55193315323. The next prime is 55193315351. The reversal of 55193315328 is 82351339155.

55193315328 is a `hidden beast` number, since 5 + 5 + 1 + 9 + 3 + 315 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (55193315321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3364875 + ... + 3381237.

It is an arithmetic number, because the mean of its divisors is an integer number (865553325).

Almost surely, 255193315328 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 55193315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83093119200).

55193315328 is an abundant number, since it is smaller than the sum of its proper divisors (110992923072).

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

55193315328 is a wasteful number, since it uses less digits than its factorization.

55193315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16455 (or 16429 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 55193315328 in words is "fifty-five billion, one hundred ninety-three million, three hundred fifteen thousand, three hundred twenty-eight".