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11052537012 = 2232111731211251
BaseRepresentation
bin10100100101100100…
…00101010010110100
31001112021022001110200
422102302011102310
5140113422141022
65024422120500
7540615004656
oct122262052264
931467261420
1011052537012
114761961710
122185580130
131071a9073a
1476bc686d6
1544a4babac
hex292c854b4

11052537012 has 288 divisors, whose sum is σ = 33603268608. Its totient is φ = 3024000000.

The previous prime is 11052536977. The next prime is 11052537059. The reversal of 11052537012 is 21073525011.

11052537012 is a `hidden beast` number, since 110 + 5 + 2 + 537 + 0 + 12 = 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, 44033887 + ... + 44034137.

It is an arithmetic number, because the mean of its divisors is an integer number (116678016).

Almost surely, 211052537012 is an apocalyptic number.

11052537012 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 11052537012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801634304).

11052537012 is an abundant number, since it is smaller than the sum of its proper divisors (22550731596).

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

11052537012 is a wasteful number, since it uses less digits than its factorization.

11052537012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The spelling of 11052537012 in words is "eleven billion, fifty-two million, five hundred thirty-seven thousand, twelve".