Search a number
-
+
480847708734738 = 233197167159590267
BaseRepresentation
bin110110101010101000001010…
…0110111101100010100010010
32100001112120222120122201022220
41231111100110313230110102
51001011202101414002423
64422402215435441510
7203166046323316062
oct15525202467542422
92301476876581286
10480847708734738
1112a2384059a8024
1245b1b6108b6296
131783c98a4c1b97
1486a522085b3a2
153a8ce444a59e3
hex1b55414dec512

480847708734738 has 64 divisors (see below), whose sum is σ = 1008957762183168. Its totient is φ = 152593828738560.

The previous prime is 480847708734737. The next prime is 480847708734739. The reversal of 480847708734738 is 837437807748084.

It is an interprime number because it is at equal distance from previous prime (480847708734737) and next prime (480847708734739).

It is a super-3 number, since 3×4808477087347383 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (480847708734733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76782120 + ... + 82808147.

It is an arithmetic number, because the mean of its divisors is an integer number (15764965034112).

Almost surely, 2480847708734738 is an apocalyptic number.

480847708734738 is an abundant number, since it is smaller than the sum of its proper divisors (528110053448430).

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

480847708734738 is a wasteful number, since it uses less digits than its factorization.

480847708734738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159590567.

The product of its (nonzero) digits is 5664669696, while the sum is 78.

The spelling of 480847708734738 in words is "four hundred eighty trillion, eight hundred forty-seven billion, seven hundred eight million, seven hundred thirty-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 31 62 93 97 167 186 194 291 334 501 582 1002 3007 5177 6014 9021 10354 15531 16199 18042 31062 32398 48597 97194 502169 1004338 1506507 3013014 159590267 319180534 478770801 957541602 4947298277 9894596554 14841894831 15480255899 26651574589 29683789662 30960511798 46440767697 53303149178 79954723767 92881535394 159909447534 479887932869 826198812259 959775865738 1439663798607 1652397624518 2478596436777 2585202735133 2879327597214 4957192873554 5170405470266 7755608205399 15511216410798 80141284789123 160282569578246 240423854367369 480847708734738