Search a number
-
+
108282591072 = 253461967489
BaseRepresentation
bin110010011011000100…
…1010011011101100000
3101100111101210120020000
41210312021103131200
53233230320403242
6121424435420000
710552225560225
oct1446611233540
9340441716200
10108282591072
1141a16777397
1218b9b754600
13a2987666c6
14535308994c
152c3b455a4c
hex1936253760

108282591072 has 120 divisors (see below), whose sum is σ = 318975287400. Its totient is φ = 36035352576.

The previous prime is 108282591071. The next prime is 108282591091. The reversal of 108282591072 is 270195282801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108282591071) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1570704 + ... + 1638192.

It is an arithmetic number, because the mean of its divisors is an integer number (2658127395).

Almost surely, 2108282591072 is an apocalyptic number.

108282591072 is a gapful number since it is divisible by the number (12) 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 108282591072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159487643700).

108282591072 is an abundant number, since it is smaller than the sum of its proper divisors (210692696328).

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

108282591072 is an equidigital number, since it uses as much as digits as its factorization.

108282591072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68130 (or 68113 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 108282591072 in words is "one hundred eight billion, two hundred eighty-two million, five hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 619 648 864 1238 1296 1857 2476 2592 3714 4952 5571 7428 9904 11142 14856 16713 19808 22284 29712 33426 44568 50139 59424 66852 67489 89136 100278 133704 134978 178272 200556 202467 267408 269956 401112 404934 534816 539912 607401 802224 809868 1079824 1214802 1604448 1619736 1822203 2159648 2429604 3239472 3644406 4859208 5466609 6478944 7288812 9718416 10933218 14577624 19436832 21866436 29155248 41775691 43732872 58310496 83551382 87465744 125327073 167102764 174931488 250654146 334205528 375981219 501308292 668411056 751962438 1002616584 1127943657 1336822112 1503924876 2005233168 2255887314 3007849752 3383830971 4010466336 4511774628 6015699504 6767661942 9023549256 12031399008 13535323884 18047098512 27070647768 36094197024 54141295536 108282591072