Search a number
-
+
11237488640 = 21157211743
BaseRepresentation
bin10100111011100111…
…00111100000000000
31002000011022120101222
422131303213200000
5141003244114030
65055030214212
7545322035360
oct123563474000
932004276358
1011237488640
1148472a65a4
1222174b4368
1310a11a9381
147886509a0
1545b8513e5
hex29dce7800

11237488640 has 192 divisors, whose sum is σ = 31003015680. Its totient is φ = 3829432320.

The previous prime is 11237488583. The next prime is 11237488643. The reversal of 11237488640 is 4688473211.

It is a junction number, because it is equal to n+sod(n) for n = 11237488591 and 11237488600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11237488643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15124109 + ... + 15124851.

It is an arithmetic number, because the mean of its divisors is an integer number (161474040).

Almost surely, 211237488640 is an apocalyptic number.

11237488640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11237488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501507840).

11237488640 is an abundant number, since it is smaller than the sum of its proper divisors (19765527040).

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

11237488640 is an equidigital number, since it uses as much as digits as its factorization.

11237488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 11237488640 in words is "eleven billion, two hundred thirty-seven million, four hundred eighty-eight thousand, six hundred forty".