Search a number
-
+
15054254606352 = 24313195772200621
BaseRepresentation
bin1101101100010001011101…
…1111111000100000010000
31222022011122212221221120110
43123010113133320200100
53433122103134400402
652003455030041320
73112430314554363
oct333042737704020
958264585857513
1015054254606352
114884523297325
1218317474a9240
138527c1577150
143a08b62b40da
151b18e07c356c
hexdb1177f8810

15054254606352 has 160 divisors (see below), whose sum is σ = 44162434395520. Its totient is φ = 4380677406720.

The previous prime is 15054254606317. The next prime is 15054254606383. The reversal of 15054254606352 is 25360645245051.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5740602 + ... + 7941222.

It is an arithmetic number, because the mean of its divisors is an integer number (276015214972).

Almost surely, 215054254606352 is an apocalyptic number.

15054254606352 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 15054254606352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22081217197760).

15054254606352 is an abundant number, since it is smaller than the sum of its proper divisors (29108179789168).

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

15054254606352 is a wasteful number, since it uses less digits than its factorization.

15054254606352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201241 (or 2201235 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 15054254606352 in words is "fifteen trillion, fifty-four billion, two hundred fifty-four million, six hundred six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 577 624 741 912 988 1154 1482 1731 1976 2308 2964 3462 3952 4616 5928 6924 7501 9232 10963 11856 13848 15002 21926 22503 27696 30004 32889 43852 45006 60008 65778 87704 90012 120016 131556 142519 175408 180024 263112 285038 360048 427557 526224 570076 855114 1140152 1710228 2200621 2280304 3420456 4401242 6601863 6840912 8802484 13203726 17604968 26407452 28608073 35209936 41811799 52814904 57216146 83623598 85824219 105629808 114432292 125435397 167247196 171648438 228864584 250870794 334494392 343296876 457729168 501741588 543553387 668988784 686593752 1003483176 1087106774 1269758317 1373187504 1630660161 2006966352 2174213548 2539516634 3261320322 3809274951 4348427096 5079033268 6522640644 7618549902 8696854192 10158066536 13045281288 15237099804 16506858121 20316133072 24125408023 26090562576 30474199608 33013716242 48250816046 49520574363 60948399216 66027432484 72376224069 96501632092 99041148726 132054864968 144752448138 193003264184 198082297452 264109729936 289504896276 313630304299 386006528368 396164594904 579009792552 627260608598 792329189808 940890912897 1158019585104 1254521217196 1881781825794 2509042434392 3763563651588 5018084868784 7527127303176 15054254606352