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11054573712 = 24337133147193
BaseRepresentation
bin10100100101110011…
…10110100010010000
31001112102010112022000
422102321312202100
5140114432324322
65024533514000
7540641216610
oct122271664220
931472115260
1011054573712
114763022936
1221861a2900
1310723247a0
1476c238a40
1544a76e3ac
hex292e76890

11054573712 has 640 divisors, whose sum is σ = 41384017920. Its totient is φ = 2747105280.

The previous prime is 11054573689. The next prime is 11054573723. The reversal of 11054573712 is 21737545011.

11054573712 is a `hidden beast` number, since 1 + 10 + 5 + 4 + 573 + 71 + 2 = 666.

It is a super-3 number, since 3×110545737123 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57277488 + ... + 57277680.

It is an arithmetic number, because the mean of its divisors is an integer number (64662528).

Almost surely, 211054573712 is an apocalyptic number.

11054573712 is a gapful number since it is divisible by the number (12) 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 11054573712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20692008960).

11054573712 is an abundant number, since it is smaller than the sum of its proper divisors (30329444208).

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

11054573712 is a wasteful number, since it uses less digits than its factorization.

11054573712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 11054573712 in words is "eleven billion, fifty-four million, five hundred seventy-three thousand, seven hundred twelve".