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11028232512 = 263311677857
BaseRepresentation
bin10100100010101010…
…10111100101000000
31001110120120020222000
422101111113211000
5140041211420022
65022153144000
7540201300243
oct122125274500
931416506860
1011028232512
11474a171350
1221793bb000
131069a30c8b
1476893d25a
154482b96ac
hex291557940

11028232512 has 224 divisors, whose sum is σ = 35461895040. Its totient is φ = 3333058560.

The previous prime is 11028232471. The next prime is 11028232559. The reversal of 11028232512 is 21523282011.

11028232512 is a `hidden beast` number, since 110 + 2 + 8 + 2 + 32 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12867988 + ... + 12868844.

Almost surely, 211028232512 is an apocalyptic number.

11028232512 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 11028232512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730947520).

11028232512 is an abundant number, since it is smaller than the sum of its proper divisors (24433662528).

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

11028232512 is a wasteful number, since it uses less digits than its factorization.

11028232512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11028232512 in words is "eleven billion, twenty-eight million, two hundred thirty-two thousand, five hundred twelve".