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212330401491456 = 2934192910985247
BaseRepresentation
bin110000010001110100000110…
…001001111110101000000000
31000211210120212202101222020000
4300101310012021332220000
5210312310130240211311
62031331123450120000
762503236200554443
oct6021640611765000
91024716782358200
10212330401491456
11617228aa2219a6
121b993079a20000
1391628950b6861
143a60bbc22165a
151983303653056
hexc11d0627ea00

212330401491456 has 800 divisors, whose sum is σ = 696448710144000. Its totient is φ = 64144884400128.

The previous prime is 212330401491451. The next prime is 212330401491479. The reversal of 212330401491456 is 654194104033212.

It is a happy number.

212330401491456 is a `hidden beast` number, since 2 + 1 + 23 + 30 + 4 + 0 + 149 + 1 + 456 = 666.

It is not an unprimeable number, because it can be changed into a prime (212330401491451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2490724225 + ... + 2490809471.

It is an arithmetic number, because the mean of its divisors is an integer number (870560887680).

Almost surely, 2212330401491456 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 212330401491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348224355072000).

212330401491456 is an abundant number, since it is smaller than the sum of its proper divisors (484118308652544).

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

212330401491456 is a wasteful number, since it uses less digits than its factorization.

212330401491456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85434 (or 85409 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 212330401491456 in words is "two hundred twelve trillion, three hundred thirty billion, four hundred one million, four hundred ninety-one thousand, four hundred fifty-six".