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11018771712 = 283313149823
BaseRepresentation
bin10100100001100010…
…10001110100000000
31001102220202121012000
422100301101310000
5140031301143322
65021214304000
7540025004604
oct122061216400
931386677160
1011018771712
11474489a303
1221761b8000
131067a9a980
14767599504
1544754b3ac
hex290c51d00

11018771712 has 288 divisors, whose sum is σ = 35369376000. Its totient is φ = 3363545088.

The previous prime is 11018771683. The next prime is 11018771747. The reversal of 11018771712 is 21717781011.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13388133 + ... + 13388955.

Almost surely, 211018771712 is an apocalyptic number.

11018771712 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 11018771712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17684688000).

11018771712 is an abundant number, since it is smaller than the sum of its proper divisors (24350604288).

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

11018771712 is a wasteful number, since it uses less digits than its factorization.

11018771712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 36.

The spelling of 11018771712 in words is "eleven billion, eighteen million, seven hundred seventy-one thousand, seven hundred twelve".