Search a number
-
+
80995189248 = 2936217001
BaseRepresentation
bin100101101101110110…
…0001000001000000000
321202001200201221000000
41023123230020020000
52311334232023443
6101113024000000
75565064514661
oct1133354101000
9252050657000
1080995189248
1131393744536
1213845160000
13783a3793ac
143cc4dd3368
152190a4e8d3
hex12dbb08200

80995189248 has 140 divisors (see below), whose sum is σ = 242638399278. Its totient is φ = 26998272000.

The previous prime is 80995189229. The next prime is 80995189277. The reversal of 80995189248 is 84298159908.

80995189248 is a `hidden beast` number, since 8 + 0 + 99 + 518 + 9 + 24 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79091437824 + 1903751424 = 281232^2 + 43632^2 .

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 13 ways as a sum of consecutive naturals, for example, 264748 + ... + 481748.

Almost surely, 280995189248 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 80995189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121319199639).

80995189248 is an abundant number, since it is smaller than the sum of its proper divisors (161643210030).

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

80995189248 is an frugal number, since it uses more digits than its factorization.

80995189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217037 (or 217006 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 80995189248 in words is "eighty billion, nine hundred ninety-five million, one hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 15552 20736 23328 31104 41472 46656 62208 93312 124416 186624 217001 373248 434002 651003 868004 1302006 1736008 1953009 2604012 3472016 3906018 5208024 5859027 6944032 7812036 10416048 11718054 13888064 15624072 17577081 20832096 23436108 27776128 31248144 35154162 41664192 46872216 52731243 55552256 62496288 70308324 83328384 93744432 105462486 111104512 124992576 140616648 158193729 166656768 187488864 210924972 249985152 281233296 316387458 333313536 374977728 421849944 499970304 562466592 632774916 749955456 843699888 999940608 1124933184 1265549832 1499910912 1687399776 2249866368 2531099664 2999821824 3374799552 4499732736 5062199328 6749599104 8999465472 10124398656 13499198208 20248797312 26998396416 40497594624 80995189248