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11275974656 = 21122924043
BaseRepresentation
bin10101000000001100…
…11011100000000000
31002002211201212021222
422200012123200000
5141043122142111
65102523134212
7546300126452
oct124006334000
932084655258
1011275974656
114866aa2721
122228374368
1310a9162a6b
1478d7cc2d2
1545ee047db
hex2a019b800

11275974656 has 48 divisors (see below), whose sum is σ = 22645841400. Its totient is φ = 5613133824.

The previous prime is 11275974649. The next prime is 11275974683. The reversal of 11275974656 is 65647957211.

It is a junction number, because it is equal to n+sod(n) for n = 11275974598 and 11275974607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 456971 + ... + 481013.

Almost surely, 211275974656 is an apocalyptic number.

11275974656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11275974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11322920700).

11275974656 is an abundant number, since it is smaller than the sum of its proper divisors (11369866744).

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

11275974656 is an equidigital number, since it uses as much as digits as its factorization.

11275974656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24294 (or 24274 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 53.

The spelling of 11275974656 in words is "eleven billion, two hundred seventy-five million, nine hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 512 916 1024 1832 2048 3664 7328 14656 24043 29312 48086 58624 96172 117248 192344 234496 384688 468992 769376 1538752 3077504 5505847 6155008 11011694 12310016 22023388 24620032 44046776 49240064 88093552 176187104 352374208 704748416 1409496832 2818993664 5637987328 11275974656