Search a number
-
+
4486509144 = 23321310744797
BaseRepresentation
bin1000010110110101…
…01011001001011000
3102120200011021112100
410023122223021120
533142021243034
62021105243400
7216115461405
oct41332531130
912520137470
104486509144
1119a25767a7
12a52633560
13566662050
14307bd72ac
151b3d26099
hex10b6ab258

4486509144 has 96 divisors (see below), whose sum is σ = 13208242320. Its totient is φ = 1367532288.

The previous prime is 4486509133. The next prime is 4486509187. The reversal of 4486509144 is 4419056844.

4486509144 is a `hidden beast` number, since 448 + 65 + 0 + 9 + 144 = 666.

It is a super-2 number, since 2×44865091442 = 40257528598391225472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4486509144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77754 + ... + 122550.

Almost surely, 24486509144 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 4486509144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604121160).

4486509144 is an abundant number, since it is smaller than the sum of its proper divisors (8721733176).

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

4486509144 is a wasteful number, since it uses less digits than its factorization.

4486509144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44929 (or 44922 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4486509144 is about 66981.4089430791. The cubic root of 4486509144 is about 1649.3121275962.

The spelling of 4486509144 in words is "four billion, four hundred eighty-six million, five hundred nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 107 117 156 214 234 312 321 428 468 642 856 936 963 1284 1391 1926 2568 2782 3852 4173 5564 7704 8346 11128 12519 16692 25038 33384 44797 50076 89594 100152 134391 179188 268782 358376 403173 537564 582361 806346 1075128 1164722 1612692 1747083 2329444 3225384 3494166 4658888 4793279 5241249 6988332 9586558 10482498 13976664 14379837 19173116 20964996 28759674 38346232 41929992 43139511 57519348 62312627 86279022 115038696 124625254 172558044 186937881 249250508 345116088 373875762 498501016 560813643 747751524 1121627286 1495503048 2243254572 4486509144