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11339401248 = 2534721937127
BaseRepresentation
bin10101000111110000…
…11000100000100000
31002021021002021020000
422203320120200200
5141210341314443
65113110420000
7551000214600
oct124370304040
932237067200
1011339401248
114899883a9a
122245661600
1310b933c5a6
14797dbcc00
154657828d3
hex2a3e18820

11339401248 has 720 divisors, whose sum is σ = 42269230080. Its totient is φ = 2962842624.

The previous prime is 11339401223. The next prime is 11339401261. The reversal of 11339401248 is 84210493311.

11339401248 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 9 + 401 + 248 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 89286561 + ... + 89286687.

It is an arithmetic number, because the mean of its divisors is an integer number (58707264).

Almost surely, 211339401248 is an apocalyptic number.

11339401248 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 11339401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134615040).

11339401248 is an abundant number, since it is smaller than the sum of its proper divisors (30929828832).

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

11339401248 is a wasteful number, since it uses less digits than its factorization.

11339401248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 11339401248 its reverse (84210493311), we get a palindrome (95549894559).

The spelling of 11339401248 in words is "eleven billion, three hundred thirty-nine million, four hundred one thousand, two hundred forty-eight".