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11334403080 = 233257111371443
BaseRepresentation
bin10101000111001010…
…10100010000001000
31002020220200100000200
422203211110100020
5141203101344310
65112411332200
7550606556640
oct124345242010
932226610020
1011334403080
114896a7a880
122243a51060
1310b82ac5b0
1479747b520
154650e69c0
hex2a3954408

11334403080 has 768 divisors, whose sum is σ = 50269040640. Its totient is φ = 2138572800.

The previous prime is 11334403079. The next prime is 11334403109. The reversal of 11334403080 is 8030443311.

11334403080 is a `hidden beast` number, since 1 + 13 + 344 + 0 + 308 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25585339 + ... + 25585781.

It is an arithmetic number, because the mean of its divisors is an integer number (65454480).

Almost surely, 211334403080 is an apocalyptic number.

11334403080 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 11334403080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25134520320).

11334403080 is an abundant number, since it is smaller than the sum of its proper divisors (38934637560).

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

11334403080 is a wasteful number, since it uses less digits than its factorization.

11334403080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11334403080 its reverse (8030443311), we get a palindrome (19364846391).

It can be divided in two parts, 11334 and 403080, that added together give a palindrome (414414).

The spelling of 11334403080 in words is "eleven billion, three hundred thirty-four million, four hundred three thousand, eighty".