Search a number
-
+
14493868704 = 2533717294861
BaseRepresentation
bin11010111111110011…
…01110001010100000
31101102002202211002000
431133321232022200
5214140412244304
610354113524000
71022112564660
oct153771561240
941362684060
1014493868704
116168458097
122985b73600
13149ca28293
149b6d141a0
1559c689939
hex35fe6e2a0

14493868704 has 384 divisors, whose sum is σ = 52929676800. Its totient is φ = 3762339840.

The previous prime is 14493868703. The next prime is 14493868709. The reversal of 14493868704 is 40786839441.

14493868704 is a `hidden beast` number, since 1 + 4 + 493 + 86 + 8 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14493868703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2979234 + ... + 2984094.

It is an arithmetic number, because the mean of its divisors is an integer number (137837700).

Almost surely, 214493868704 is an apocalyptic number.

14493868704 is a gapful number since it is divisible by the number (14) 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 14493868704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26464838400).

14493868704 is an abundant number, since it is smaller than the sum of its proper divisors (38435808096).

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

14493868704 is a wasteful number, since it uses less digits than its factorization.

14493868704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 14493868704 in words is "fourteen billion, four hundred ninety-three million, eight hundred sixty-eight thousand, seven hundred four".