Search a number
-
+
10482467948067 = 3173110165646307
BaseRepresentation
bin1001100010001010001111…
…0001110100011000100011
31101010010002012210110010010
42120202203301310120203
52333221043243314232
634143325043340003
72131222220262633
oct230424361643043
941103065713103
1010482467948067
1133816539743a5
1212136a5381603
135b0652cb7b6b
142834d5b366c3
15132a168040cc
hex988a3c74623

10482467948067 has 32 divisors (see below), whose sum is σ = 15427407550464. Its totient is φ = 6302045376000.

The previous prime is 10482467948041. The next prime is 10482467948081. The reversal of 10482467948067 is 76084976428401.

It is not a de Polignac number, because 10482467948067 - 220 = 10482466899491 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10482467947989 and 10482467948007.

It is not an unprimeable number, because it can be changed into a prime (10482467948167) 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 31 ways as a sum of consecutive naturals, for example, 32663473 + ... + 32982834.

It is an arithmetic number, because the mean of its divisors is an integer number (482106485952).

Almost surely, 210482467948067 is an apocalyptic number.

10482467948067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10482467948067 is a deficient number, since it is larger than the sum of its proper divisors (4944939602397).

10482467948067 is a wasteful number, since it uses less digits than its factorization.

10482467948067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65646459.

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 10482467948067 in words is "ten trillion, four hundred eighty-two billion, four hundred sixty-seven million, nine hundred forty-eight thousand, sixty-seven".

Divisors: 1 3 17 31 51 93 101 303 527 1581 1717 3131 5151 9393 53227 159681 65646307 196938921 1115987219 2035035517 3347961657 6105106551 6630277007 19890831021 34595603789 103786811367 112714709119 205538587217 338144127357 616615761651 3494155982689 10482467948067