Search a number
-
+
27470988907472 = 24112329534415297
BaseRepresentation
bin1100011111100000101101…
…00010010001001111010000
310121021012102110010222221002
412033300112202101033100
512100041041130014342
6134231555330321132
75533466466654005
oct617602642211720
9117235373128832
1027470988907472
118831421086650
1230b808a7291a8
13124367051a296
146ad86272d8ac
153298b42cdd32
hex18fc168913d0

27470988907472 has 160 divisors (see below), whose sum is σ = 63860044481280. Its totient is φ = 11314460917760.

The previous prime is 27470988907447. The next prime is 27470988907547.

27470988907472 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 27470988907472.

It is a congruent number.

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, 4014128 + ... + 8429424.

It is an arithmetic number, because the mean of its divisors is an integer number (399125278008).

Almost surely, 227470988907472 is an apocalyptic number.

27470988907472 is a gapful number since it is divisible by the number (22) 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 27470988907472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31930022240640).

27470988907472 is an abundant number, since it is smaller than the sum of its proper divisors (36389055573808).

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

27470988907472 is a wasteful number, since it uses less digits than its factorization.

27470988907472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415421 (or 4415415 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 74.

The spelling of 27470988907472 in words is "twenty-seven trillion, four hundred seventy billion, nine hundred eighty-eight million, nine hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 29 44 46 53 58 88 92 106 116 176 184 212 232 253 319 368 424 464 506 583 638 667 848 1012 1166 1219 1276 1334 1537 2024 2332 2438 2552 2668 3074 4048 4664 4876 5104 5336 6148 7337 9328 9752 10672 12296 13409 14674 16907 19504 24592 26818 29348 33814 35351 53636 58696 67628 70702 107272 117392 135256 141404 214544 270512 282808 388861 565616 777722 1555444 3110888 4415297 6221776 8830594 17661188 35322376 48568267 70644752 97136534 101551831 128043613 194273068 203103662 234010741 256087226 388546136 406207324 468021482 512174452 777092272 812414648 936042964 1024348904 1117070141 1408479743 1624829296 1872085928 2048697808 2234140282 2574118151 2816959486 2945003099 3744171856 4468280564 5148236302 5382247043 5633918972 5890006198 6786311489 8936561128 10296472604 10764494086 11267837944 11780012396 13572622978 17873122256 20592945208 21528988172 22535675888 23560024792 27145245956 32395034089 41185890416 43057976344 47120049584 54290491912 59204717473 64790068178 74649426379 86115952688 108580983824 118409434946 129580136356 149298852758 156085164247 236818869892 259160272712 298597705516 312170328494 473637739784 518320545424 597195411032 624340656988 947275479568 1194390822064 1248681313976 1716936806717 2497362627952 3433873613434 6867747226868 13735494453736 27470988907472