Search a number
-
+
14465661083648 = 2134613830429
BaseRepresentation
bin1101001010000000110010…
…0101110010000000000000
31220012220101210101222100022
43102200030211302000000
53344001133214134043
650433233304113012
73022052365302245
oct322401445620000
956186353358308
1014465661083648
114677941620a75
121757660765768
1380c14bb12bb8
143801dacad5cc
151a1442037868
hexd280c972000

14465661083648 has 56 divisors (see below), whose sum is σ = 28992317826780. Its totient is φ = 7217139220480.

The previous prime is 14465661083633. The next prime is 14465661083743. The reversal of 14465661083648 is 84638016656441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14371013791744 + 94647291904 = 3790912^2 + 307648^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1861298 + ... + 5691726.

Almost surely, 214465661083648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14465661083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496158913390).

14465661083648 is an abundant number, since it is smaller than the sum of its proper divisors (14526656743132).

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

14465661083648 is an frugal number, since it uses more digits than its factorization.

14465661083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830916 (or 3830892 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 62.

The spelling of 14465661083648 in words is "fourteen trillion, four hundred sixty-five billion, six hundred sixty-one million, eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 461 512 922 1024 1844 2048 3688 4096 7376 8192 14752 29504 59008 118016 236032 472064 944128 1888256 3776512 3830429 7660858 15321716 30643432 61286864 122573728 245147456 490294912 980589824 1765827769 1961179648 3531655538 3922359296 7063311076 7844718592 14126622152 15689437184 28253244304 31378874368 56506488608 113012977216 226025954432 452051908864 904103817728 1808207635456 3616415270912 7232830541824 14465661083648