Search a number
-
+
32486132272 = 241138318379
BaseRepresentation
bin11110010000010100…
…110000101000110000
310002212000101111201011
4132100110300220300
51013012422213042
622531322320304
72230015365616
oct362024605060
9102760344634
1032486132272
1112860636000
126367659094
1330a947a399
1418026c96b6
15ca2015a17
hex790530a30

32486132272 has 80 divisors (see below), whose sum is σ = 70069265280. Its totient is φ = 14587721280.

The previous prime is 32486132257. The next prime is 32486132293. The reversal of 32486132272 is 27223168423.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758379 + ... + 1776757.

It is an arithmetic number, because the mean of its divisors is an integer number (875865816).

Almost surely, 232486132272 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 32486132272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35034632640).

32486132272 is an abundant number, since it is smaller than the sum of its proper divisors (37583133008).

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

32486132272 is a wasteful number, since it uses less digits than its factorization.

32486132272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18503 (or 18475 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The spelling of 32486132272 in words is "thirty-two billion, four hundred eighty-six million, one hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 83 88 121 166 176 242 332 484 664 913 968 1328 1331 1826 1936 2662 3652 5324 7304 10043 10648 14608 18379 20086 21296 36758 40172 73516 80344 110473 147032 160688 202169 220946 294064 404338 441892 808676 883784 1525457 1617352 1767568 2223859 3050914 3234704 4447718 6101828 8895436 12203656 16780027 17790872 24407312 24462449 33560054 35581744 48924898 67120108 97849796 134240216 184580297 195699592 268480432 369160594 391399184 738321188 1476642376 2030383267 2953284752 4060766534 8121533068 16243066136 32486132272