Search a number
-
+
8121227472 = 243256397413
BaseRepresentation
bin1111001000001000…
…00001100011010000
3202221222112002201200
413210010001203100
5113113013234342
63421510031200
7405152203011
oct74404014320
922858462650
108121227472
113498248446
1216a7948500
139c56a9957
14570823008
15327e9494c
hex1e41018d0

8121227472 has 30 divisors (see below), whose sum is σ = 22728157842. Its totient is φ = 2707075776.

The previous prime is 8121227461. The next prime is 8121227489. The reversal of 8121227472 is 2747221218.

It can be written as a sum of positive squares in only one way, i.e., 7975204416 + 146023056 = 89304^2 + 12084^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28198563 + ... + 28198850.

Almost surely, 28121227472 is an apocalyptic number.

It is an amenable number.

8121227472 is an abundant number, since it is smaller than the sum of its proper divisors (14606930370).

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

8121227472 is a wasteful number, since it uses less digits than its factorization.

8121227472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56397427 (or 56397418 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 8121227472 is about 90117.8532367477. The cubic root of 8121227472 is about 2010.0516865004.

The spelling of 8121227472 in words is "eight billion, one hundred twenty-one million, two hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 56397413 112794826 169192239 225589652 338384478 451179304 507576717 676768956 902358608 1015153434 1353537912 2030306868 2707075824 4060613736 8121227472