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11141974368 = 2532723125469
BaseRepresentation
bin10100110000001110…
…10000100101100000
31001202111120221110100
422120013100211200
5140304321134433
65041335102400
7543052135200
oct123007204540
931674527410
1011141974368
1147a8399288
1221ab511a00
131087476555
14779aaa400
15453285b13
hex2981d0960

11141974368 has 216 divisors, whose sum is σ = 38048512320. Its totient is φ = 3080609280.

The previous prime is 11141974331. The next prime is 11141974421. The reversal of 11141974368 is 86347914111.

11141974368 is a `hidden beast` number, since 11 + 14 + 197 + 436 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 424738 + ... + 450206.

It is an arithmetic number, because the mean of its divisors is an integer number (176150520).

Almost surely, 211141974368 is an apocalyptic number.

11141974368 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 11141974368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19024256160).

11141974368 is an abundant number, since it is smaller than the sum of its proper divisors (26906537952).

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

11141974368 is a wasteful number, since it uses less digits than its factorization.

11141974368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25530 (or 25512 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 11141974368 in words is "eleven billion, one hundred forty-one million, nine hundred seventy-four thousand, three hundred sixty-eight".