Search a number
-
+
11941429248 = 21432723503
BaseRepresentation
bin10110001111100001…
…11100000000000000
31010211012220110101100
423013300330000000
5143424001213443
65252534134400
7601630321350
oct130760740000
933735813340
1011941429248
1150786975a1
1223931b1400
131183c98288
14813d32b60
1549d5513d3
hex2c7c3c000

11941429248 has 360 divisors, whose sum is σ = 41220361728. Its totient is φ = 3257008128.

The previous prime is 11941429231. The next prime is 11941429249. The reversal of 11941429248 is 84292414911.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11941429249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23740165 + ... + 23740667.

Almost surely, 211941429248 is an apocalyptic number.

11941429248 is a gapful number since it is divisible by the number (18) 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 11941429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610180864).

11941429248 is an abundant number, since it is smaller than the sum of its proper divisors (29278932480).

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

11941429248 is an equidigital number, since it uses as much as digits as its factorization.

11941429248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 538 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 11941429248 in words is "eleven billion, nine hundred forty-one million, four hundred twenty-nine thousand, two hundred forty-eight".