Search a number
-
+
20091228440976 = 243676114
BaseRepresentation
bin1001001000101110110101…
…00010001100100110010000
32122010200222020212111000000
410210113122202030212100
510113133313440102401
6110421441040130000
74142354241000000
oct444273242144620
978120866774000
1020091228440976
116446707750000
122305993906900
13b29796777964
144d65c6370000
1524c943eba186
hex1245da88c990

20091228440976 has 1225 divisors, whose sum is σ = 74899184183755. Its totient is φ = 5218500893760.

The previous prime is 20091228440939. The next prime is 20091228441001. The reversal of 20091228440976 is 67904482219002.

It is a happy number.

The square root of 20091228440976 is 4482324.

It is a perfect power (a square), and thus also a powerful number.

20091228440976 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 1 + 228 + 4 + 409 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 244 ways as a sum of consecutive naturals, for example, 1826475312811 + ... + 1826475312821.

Almost surely, 220091228440976 is an apocalyptic number.

20091228440976 is the 4482324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20091228440976

20091228440976 is an abundant number, since it is smaller than the sum of its proper divisors (54807955742779).

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

20091228440976 is an frugal number, since it uses more digits than its factorization.

20091228440976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 20091228440976 in words is "twenty trillion, ninety-one billion, two hundred twenty-eight million, four hundred forty thousand, nine hundred seventy-six".