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1668854016 = 2835139193
BaseRepresentation
bin110001101111000…
…1011000100000000
311022022020120100000
41203132023010000
511404211312031
6433333200000
756233011414
oct14336130400
94268216300
101668854016
1178702a7a5
123a6a90000
13207992aab
1411b8d8d44
159b7a03e6
hex6378b100

1668854016 has 216 divisors, whose sum is σ = 5051868640. Its totient is φ = 549421056.

The previous prime is 1668853997. The next prime is 1668854021. The reversal of 1668854016 is 6104588661.

1668854016 is a `hidden beast` number, since 16 + 6 + 88 + 540 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8646816 + ... + 8647008.

Almost surely, 21668854016 is an apocalyptic number.

1668854016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525934320).

1668854016 is an abundant number, since it is smaller than the sum of its proper divisors (3383014624).

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

1668854016 is an equidigital number, since it uses as much as digits as its factorization.

1668854016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1668854016 is about 40851.6097112464. The cubic root of 1668854016 is about 1186.1495526359.

The spelling of 1668854016 in words is "one billion, six hundred sixty-eight million, eight hundred fifty-four thousand, sixteen".