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11241370368 = 283219491523
BaseRepresentation
bin10100111100000100…
…11011001100000000
31002000102121210010200
422132002123030000
5141010242322433
65055245325200
7545400033354
oct123602331400
932012553120
1011241370368
114849507a38
122218866800
1310a1c38157
14788d81464
1545bd6b613
hex29e09b300

11241370368 has 216 divisors, whose sum is σ = 34252370880. Its totient is φ = 3535902720.

The previous prime is 11241370367. The next prime is 11241370409. The reversal of 11241370368 is 86307314211.

It is a happy number.

11241370368 is a `hidden beast` number, since 11 + 241 + 370 + 36 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11241370367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21493755 + ... + 21494277.

Almost surely, 211241370368 is an apocalyptic number.

11241370368 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 11241370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126185440).

11241370368 is an abundant number, since it is smaller than the sum of its proper divisors (23011000512).

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

11241370368 is a wasteful number, since it uses less digits than its factorization.

11241370368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 11241370368 its reverse (86307314211), we get a palindrome (97548684579).

The spelling of 11241370368 in words is "eleven billion, two hundred forty-one million, three hundred seventy thousand, three hundred sixty-eight".