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11150008320 = 213351173113
BaseRepresentation
bin10100110001001011…
…11010000000000000
31001210001201002222010
422120211322000000
5140313400231240
65042223212520
7543210335613
oct123045720000
931701632863
1011150008320
114801986310
1221b2147140
13108902a279
1477ab9c17a
15453d21280
hex29897a000

11150008320 has 448 divisors, whose sum is σ = 39803612544. Its totient is φ = 2642411520.

The previous prime is 11150008301. The next prime is 11150008361. The reversal of 11150008320 is 2380005111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98672584 + ... + 98672696.

Almost surely, 211150008320 is an apocalyptic number.

11150008320 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 11150008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19901806272).

11150008320 is an abundant number, since it is smaller than the sum of its proper divisors (28653604224).

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

11150008320 is a wasteful number, since it uses less digits than its factorization.

11150008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 11150008320 in words is "eleven billion, one hundred fifty million, eight thousand, three hundred twenty".