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11035940864 = 211131737659
BaseRepresentation
bin10100100011100101…
…10001100000000000
31001111010001212211112
422101302301200000
5140100200101424
65023030302452
7540323643464
oct122162614000
931433055745
1011035940864
114753556793
12217bab7a28
13106b4cc730
147699884a4
15448cdd60e
hex291cb1800

11035940864 has 192 divisors, whose sum is σ = 25881055200. Its totient is φ = 4657250304.

The previous prime is 11035940831. The next prime is 11035940873. The reversal of 11035940864 is 46804953011.

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 15 ways as a sum of consecutive naturals, for example, 16746167 + ... + 16746825.

Almost surely, 211035940864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11035940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12940527600).

11035940864 is an abundant number, since it is smaller than the sum of its proper divisors (14845114336).

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

11035940864 is a wasteful number, since it uses less digits than its factorization.

11035940864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 11035940864 in words is "eleven billion, thirty-five million, nine hundred forty thousand, eight hundred sixty-four".