Search a number
-
+
88044066900 = 22325297826741
BaseRepresentation
bin101000111111111010…
…1011101100001010100
322102020221110000022200
41101333311131201110
52420303240120100
6104240305524500
76234546135456
oct1217765354124
9272227400280
1088044066900
1134380642659
1215091943730
1383c183690a
1443932342d6
1524547c0e00
hex147fd5d854

88044066900 has 54 divisors (see below), whose sum is σ = 275969239182. Its totient is φ = 23478417600.

The previous prime is 88044066889. The next prime is 88044066911. The reversal of 88044066900 is 966044088.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88044066889) and next prime (88044066911).

It can be written as a sum of positive squares in 3 ways, for example, as 30665613456 + 57378453444 = 175116^2 + 239538^2 .

It is a super-2 number, since 2×880440669002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48912471 + ... + 48914270.

Almost surely, 288044066900 is an apocalyptic number.

It is an amenable number.

88044066900 is an abundant number, since it is smaller than the sum of its proper divisors (187925172282).

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

88044066900 is a wasteful number, since it uses less digits than its factorization.

88044066900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97826761 (or 97826751 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 8804 and 4066900, that added together give a palindrome (4075704).

The spelling of 88044066900 in words is "eighty-eight billion, forty-four million, sixty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 97826741 195653482 293480223 391306964 489133705 586960446 880440669 978267410 1173920892 1467401115 1760881338 1956534820 2445668525 2934802230 3521762676 4402203345 4891337050 5869604460 7337005575 8804406690 9782674100 14674011150 17608813380 22011016725 29348022300 44022033450 88044066900