Search a number
-
+
11385900512 = 257432834177
BaseRepresentation
bin10101001101010011…
…10000110111100000
31002101111120200012222
422212221300313200
5141304242304022
65121451210212
7552103362140
oct124651606740
932344520188
1011385900512
114913053638
122259146968
1310c5b7044c
147a0244920
154698ba242
hex2a6a70de0

11385900512 has 96 divisors (see below), whose sum is σ = 26312977152. Its totient is φ = 4748212224.

The previous prime is 11385900437. The next prime is 11385900583. The reversal of 11385900512 is 21500958311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2723768 + ... + 2727944.

It is an arithmetic number, because the mean of its divisors is an integer number (274093512).

Almost surely, 211385900512 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 11385900512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13156488576).

11385900512 is an abundant number, since it is smaller than the sum of its proper divisors (14927076640).

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

11385900512 is a wasteful number, since it uses less digits than its factorization.

11385900512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The spelling of 11385900512 in words is "eleven billion, three hundred eighty-five million, nine hundred thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 283 301 344 566 602 688 1132 1204 1376 1981 2264 2408 3962 4177 4528 4816 7924 8354 9056 9632 12169 15848 16708 24338 29239 31696 33416 48676 58478 63392 66832 85183 97352 116956 133664 170366 179611 194704 233912 340732 359222 389408 467824 681464 718444 935648 1182091 1257277 1362928 1436888 2364182 2514554 2725856 2873776 4728364 5029108 5747552 8274637 9456728 10058216 16549274 18913456 20116432 33098548 37826912 40232864 50829913 66197096 101659826 132394192 203319652 264788384 355809391 406639304 711618782 813278608 1423237564 1626557216 2846475128 5692950256 11385900512