Search a number
-
+
9947052108 = 2232761798191
BaseRepresentation
bin10010100001110001…
…11111100001001100
3221200020010121021100
421100320333201030
5130332421131413
64323011503100
7501332355630
oct112070774114
927606117240
109947052108
114244940524
121b172b7a90
13c26a3c366
146a50dcdc0
153d33eea73
hex250e3f84c

9947052108 has 144 divisors (see below), whose sum is σ = 29580328960. Its totient is φ = 2759702400.

The previous prime is 9947052091. The next prime is 9947052191. The reversal of 9947052108 is 8012507499.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1210293 + ... + 1218483.

Almost surely, 29947052108 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 9947052108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790164480).

9947052108 is an abundant number, since it is smaller than the sum of its proper divisors (19633276852).

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

9947052108 is a wasteful number, since it uses less digits than its factorization.

9947052108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8348 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 9947052108 is about 99734.9091742706. The cubic root of 9947052108 is about 2150.6255333638.

The spelling of 9947052108 in words is "nine billion, nine hundred forty-seven million, fifty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 79 84 122 126 158 183 237 244 252 316 366 427 474 549 553 711 732 854 948 1098 1106 1281 1422 1659 1708 2196 2212 2562 2844 3318 3843 4819 4977 5124 6636 7686 8191 9638 9954 14457 15372 16382 19276 19908 24573 28914 32764 33733 43371 49146 57337 57828 67466 73719 86742 98292 101199 114674 134932 147438 172011 173484 202398 229348 294876 303597 344022 404796 499651 516033 607194 647089 688044 999302 1032066 1214388 1294178 1498953 1941267 1998604 2064132 2588356 2997906 3497557 3882534 4496859 4529623 5823801 5995812 6995114 7765068 8993718 9059246 10492671 11647602 13588869 13990228 17987436 18118492 20985342 23295204 27177738 31478013 39472429 40766607 41970684 54355476 62956026 78944858 81533214 118417287 125912052 157889716 163066428 236834574 276307003 355251861 473669148 552614006 710503722 828921009 1105228012 1421007444 1657842018 2486763027 3315684036 4973526054 9947052108