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11035152264 = 2334338327919
BaseRepresentation
bin10100100011011111…
…10000111110001000
31001111001120211002010
422101233300332020
5140044444333024
65023001335520
7540314150403
oct122157607610
931431524063
1011035152264
114753068254
12217b7975a0
13106b2b47c6
14769820d3a
15448bd4b29
hex291bf0f88

11035152264 has 64 divisors (see below), whose sum is σ = 28304179200. Its totient is φ = 3583331136.

The previous prime is 11035152263. The next prime is 11035152269. The reversal of 11035152264 is 46225153011.

11035152264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11035152263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381297 + ... + 409215.

It is an arithmetic number, because the mean of its divisors is an integer number (442252800).

Almost surely, 211035152264 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 11035152264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152089600).

11035152264 is an abundant number, since it is smaller than the sum of its proper divisors (17269026936).

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

11035152264 is a wasteful number, since it uses less digits than its factorization.

11035152264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28354 (or 28350 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 11035152264 in words is "eleven billion, thirty-five million, one hundred fifty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 383 516 766 1032 1149 1532 2298 3064 4596 9192 16469 27919 32938 49407 55838 65876 83757 98814 111676 131752 167514 197628 223352 335028 395256 670056 1200517 2401034 3601551 4802068 7203102 9604136 10692977 14406204 21385954 28812408 32078931 42771908 64157862 85543816 128315724 256631448 459798011 919596022 1379394033 1839192044 2758788066 3678384088 5517576132 11035152264