Search a number
-
+
35054505332 = 2273116533557
BaseRepresentation
bin100000101001011010…
…010100110101110100
310100111000020101012022
4200221122110311310
51033242423132312
624034231412312
72350453244000
oct405132246564
9110430211168
1035054505332
1113959399770
126963824098
1333c85c8962
1419a7857700
15da274a172
hex829694d74

35054505332 has 96 divisors (see below), whose sum is σ = 78184915200. Its totient is φ = 13632850560.

The previous prime is 35054505323. The next prime is 35054505347. The reversal of 35054505332 is 23350545053.

It is a junction number, because it is equal to n+sod(n) for n = 35054505292 and 35054505301.

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, 9853298 + ... + 9856854.

It is an arithmetic number, because the mean of its divisors is an integer number (814426200).

Almost surely, 235054505332 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 35054505332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39092457600).

35054505332 is an abundant number, since it is smaller than the sum of its proper divisors (43130409868).

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

35054505332 is a wasteful number, since it uses less digits than its factorization.

35054505332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 35.

The spelling of 35054505332 in words is "thirty-five billion, fifty-four million, five hundred five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 343 539 653 686 1078 1306 1372 2156 2612 3557 3773 4571 7114 7183 7546 9142 14228 14366 15092 18284 24899 28732 31997 39127 49798 50281 63994 78254 99596 100562 127988 156508 174293 201124 223979 273889 348586 351967 447958 547778 697172 703934 895916 1095556 1220051 1407868 1917223 2322721 2440102 2463769 3834446 4645442 4880204 4927538 7668892 9290884 9855076 13420561 16259047 25549931 26841122 32518094 51099862 53682244 65036188 102199724 113813329 178849517 227626658 357699034 455253316 715398068 796693303 1251946619 1593386606 2503893238 3186773212 5007786476 8763626333 17527252666 35054505332