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11036421864 = 23321337318677
BaseRepresentation
bin10100100011101001…
…00110111011101000
31001111010222022122100
422101310212323220
5140100310444424
65023044453400
7540331016016
oct122164467350
931433868570
1011036421864
114753855106
1221800aa260
13106b63a650
14769a718b6
15448d85dc9
hex291d26ee8

11036421864 has 96 divisors (see below), whose sum is σ = 33059655720. Its totient is φ = 3304032768.

The previous prime is 11036421797. The next prime is 11036421911. The reversal of 11036421864 is 46812463011.

11036421864 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 642 + 1 + 8 + 6 + 4 = 666.

11036421864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6870752100 + 4165669764 = 82890^2 + 64542^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 124707 + ... + 193970.

Almost surely, 211036421864 is an apocalyptic number.

It is an amenable number.

11036421864 is an abundant number, since it is smaller than the sum of its proper divisors (22023233856).

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

11036421864 is a wasteful number, since it uses less digits than its factorization.

11036421864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318739 (or 318732 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 11036421864 its reverse (46812463011), we get a palindrome (57848884875).

The spelling of 11036421864 in words is "eleven billion, thirty-six million, four hundred twenty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1332 1443 1924 2664 2886 3848 4329 5772 8658 11544 17316 34632 318677 637354 956031 1274708 1912062 2549416 2868093 3824124 4142801 5736186 7648248 8285602 11472372 11791049 12428403 16571204 22944744 23582098 24856806 33142408 35373147 37285209 47164196 49713612 70746294 74570418 94328392 99427224 106119441 141492588 149140836 153283637 212238882 282985176 298281672 306567274 424477764 459850911 613134548 848955528 919701822 1226269096 1379552733 1839403644 2759105466 3678807288 5518210932 11036421864