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11084856000 = 263533147317
BaseRepresentation
bin10100101001011010…
…10111101011000000
31001121112010000210020
422110231113223000
5140200210343000
65031534533440
7541456502301
oct122455275300
931545100706
1011084856000
114779126419
122194367280
1310786980ba
1477227c7a8
1544d251ba0
hex294b57ac0

11084856000 has 448 divisors, whose sum is σ = 38708527104. Its totient is φ = 2790912000.

The previous prime is 11084855963. The next prime is 11084856067. The reversal of 11084856000 is 65848011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34967842 + ... + 34968158.

Almost surely, 211084856000 is an apocalyptic number.

11084856000 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 11084856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19354263552).

11084856000 is an abundant number, since it is smaller than the sum of its proper divisors (27623671104).

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

11084856000 is a wasteful number, since it uses less digits than its factorization.

11084856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 11084856000 in words is "eleven billion, eighty-four million, eight hundred fifty-six thousand".