Search a number
-
+
14658230496 = 2537132957859
BaseRepresentation
bin11011010011011001…
…01101100011100000
31101211120001021001210
431221230231203200
5220010001333441
610422304430120
71026146621610
oct155154554340
941746037053
1014658230496
116242209588
122a11018340
1314c7ab5190
149d0a9aa40
155abd04616
hex369b2d8e0

14658230496 has 192 divisors, whose sum is σ = 48991219200. Its totient is φ = 3732535296.

The previous prime is 14658230479. The next prime is 14658230507. The reversal of 14658230496 is 69403285641.

14658230496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 224415 + ... + 282273.

It is an arithmetic number, because the mean of its divisors is an integer number (255162600).

Almost surely, 214658230496 is an apocalyptic number.

14658230496 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 14658230496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24495609600).

14658230496 is an abundant number, since it is smaller than the sum of its proper divisors (34332988704).

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

14658230496 is a wasteful number, since it uses less digits than its factorization.

14658230496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57921 (or 57913 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 14658230496 in words is "fourteen billion, six hundred fifty-eight million, two hundred thirty thousand, four hundred ninety-six".