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11447485056 = 2735732937
BaseRepresentation
bin10101010100101001…
…01100001010000000
31002112210110111100000
422222110230022000
5141421024010211
65131531200000
7553452006000
oct125224541200
932483414300
1011447485056
114944896a57
1222758a6000
1311058536c7
147a84b6000
1546eed2656
hex2aa52c280

11447485056 has 768 divisors, whose sum is σ = 42325920000. Its totient is φ = 3072577536.

The previous prime is 11447485039. The next prime is 11447485117. The reversal of 11447485056 is 65058474411.

11447485056 is a `hidden beast` number, since 114 + 4 + 7 + 485 + 0 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309391470 + ... + 309391506.

It is an arithmetic number, because the mean of its divisors is an integer number (55111875).

Almost surely, 211447485056 is an apocalyptic number.

11447485056 is a gapful number since it is divisible by the number (16) 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 11447485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21162960000).

11447485056 is an abundant number, since it is smaller than the sum of its proper divisors (30878434944).

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

11447485056 is an frugal number, since it uses more digits than its factorization.

11447485056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 11447485056 in words is "eleven billion, four hundred forty-seven million, four hundred eighty-five thousand, fifty-six".