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14427906570 = 23357111793877
BaseRepresentation
bin11010110111111100…
…00110001000001010
31101020111122121001000
431123332012020022
5214022021002240
610343400035430
71020352116360
oct153376061012
941214577030
1014427906570
1161341a4830
122967a62b76
13148c17162c
149ac263630
155969aa430
hex35bf8620a

14427906570 has 256 divisors, whose sum is σ = 48248524800. Its totient is φ = 2980488960.

The previous prime is 14427906569. The next prime is 14427906583. The reversal of 14427906570 is 7560972441.

14427906570 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 79 + 0 + 6 + 570 = 666.

14427906570 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×144279065703 (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3719472 + ... + 3723348.

It is an arithmetic number, because the mean of its divisors is an integer number (188470800).

Almost surely, 214427906570 is an apocalyptic number.

14427906570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14427906570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24124262400).

14427906570 is an abundant number, since it is smaller than the sum of its proper divisors (33820618230).

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

14427906570 is a wasteful number, since it uses less digits than its factorization.

14427906570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 14427906570 in words is "fourteen billion, four hundred twenty-seven million, nine hundred six thousand, five hundred seventy".