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14285931660 = 2233571113219107
BaseRepresentation
bin11010100111000001…
…00000010010001100
31100212121111112002000
431103200200102030
5213224144303120
610321325032300
71014006262350
oct152340402214
940777445060
1014285931660
1160710439a0
1229283b5690
131468922400
14997467460
155892b3990
hex35382048c

14285931660 has 1152 divisors, whose sum is σ = 63750758400. Its totient is φ = 2571678720.

The previous prime is 14285931659. The next prime is 14285931683. The reversal of 14285931660 is 6613958241.

14285931660 is a `hidden beast` number, since 1 + 42 + 8 + 593 + 16 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 133513327 + ... + 133513433.

It is an arithmetic number, because the mean of its divisors is an integer number (55339200).

Almost surely, 214285931660 is an apocalyptic number.

14285931660 is a gapful number since it is divisible by the number (10) 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 14285931660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31875379200).

14285931660 is an abundant number, since it is smaller than the sum of its proper divisors (49464826740).

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

14285931660 is a wasteful number, since it uses less digits than its factorization.

14285931660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 14285931660 in words is "fourteen billion, two hundred eighty-five million, nine hundred thirty-one thousand, six hundred sixty".