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14427820680 = 23357213214519
BaseRepresentation
bin11010110111111011…
…10001001010001000
31101020111111020012220
431123331301022020
5214022010230210
610343354134040
71020351311100
oct153375611210
941214436186
1014427820680
116134146249
122967a21320
13148c141500
149ac240200
1559698ec70
hex35bf71288

14427820680 has 288 divisors, whose sum is σ = 54524923200. Its totient is φ = 3043901952.

The previous prime is 14427820657. The next prime is 14427820699. The reversal of 14427820680 is 8602872441.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 986461 + ... + 1000979.

It is an arithmetic number, because the mean of its divisors is an integer number (189322650).

Almost surely, 214427820680 is an apocalyptic number.

14427820680 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 14427820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27262461600).

14427820680 is an abundant number, since it is smaller than the sum of its proper divisors (40097102520).

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

14427820680 is a wasteful number, since it uses less digits than its factorization.

14427820680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14573 (or 14549 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 14427820680 in words is "fourteen billion, four hundred twenty-seven million, eight hundred twenty thousand, six hundred eighty".