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11240536545 = 3257237137777
BaseRepresentation
bin10100111011111110…
…01111100111100001
31002000101001102100100
422131333033213201
5141010034132140
65055215413013
7545356661400
oct123577174741
932011042310
1011240536545
114848a98527
122218524169
1310a1a05774
14788c05637
1545bc54530
hex29dfcf9e1

11240536545 has 72 divisors (see below), whose sum is σ = 23277317544. Its totient is φ = 4999615488.

The previous prime is 11240536537. The next prime is 11240536583. The reversal of 11240536545 is 54563504211.

11240536545 is a `hidden beast` number, since 11 + 240 + 5 + 365 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 647804304 + 10592732241 = 25452^2 + 102921^2 .

It is not a de Polignac number, because 11240536545 - 23 = 11240536537 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12697 + ... + 150473.

It is an arithmetic number, because the mean of its divisors is an integer number (323296077).

Almost surely, 211240536545 is an apocalyptic number.

11240536545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11240536545 is an abundant number, since it is smaller than the sum of its proper divisors (12036780999).

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

11240536545 is a wasteful number, since it uses less digits than its factorization.

11240536545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137839 (or 137829 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 11240536545 in words is "eleven billion, two hundred forty million, five hundred thirty-six thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 49 63 105 111 147 185 245 259 315 333 441 555 735 777 1295 1665 1813 2205 2331 3885 5439 9065 11655 16317 27195 81585 137777 413331 688885 964439 1239993 2066655 2893317 4822195 5097749 6199965 6751073 8679951 14466585 15293247 20253219 25488745 33755365 35684243 43399755 45879741 60759657 76466235 101266095 107052729 178421215 229398705 249789701 303798285 321158187 535263645 749369103 1248948505 1605790935 2248107309 3746845515 11240536545