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11450030656 = 26375578681
BaseRepresentation
bin10101010100111100…
…11001101001000000
31002112222020211020111
422222132121221000
5141422201440111
65132101521104
7553512440401
oct125236315100
932488224214
1011450030656
114946275559
122276713194
13110623528c
147a89799a8
15470336a21
hex2aa799a40

11450030656 has 56 divisors (see below), whose sum is σ = 23379827256. Its totient is φ = 5559644160.

The previous prime is 11450030653. The next prime is 11450030659. The reversal of 11450030656 is 65603005411.

It is an interprime number because it is at equal distance from previous prime (11450030653) and next prime (11450030659).

It can be written as a sum of positive squares in 4 ways, for example, as 3171942400 + 8278088256 = 56320^2 + 90984^2 .

It is a super-2 number, since 2×114500306562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11450030653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1314636 + ... + 1323316.

Almost surely, 211450030656 is an apocalyptic number.

11450030656 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 11450030656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11689913628).

11450030656 is an abundant number, since it is smaller than the sum of its proper divisors (11929796600).

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

11450030656 is an equidigital number, since it uses as much as digits as its factorization.

11450030656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287 (or 9277 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 11450030656 in words is "eleven billion, four hundred fifty million, thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 557 592 1114 1184 2228 2368 4456 8681 8912 17362 17824 20609 34724 35648 41218 69448 82436 138896 164872 277792 321197 329744 555584 642394 659488 1284788 1318976 2569576 4835317 5139152 9670634 10278304 19341268 20556608 38682536 77365072 154730144 178906729 309460288 357813458 715626916 1431253832 2862507664 5725015328 11450030656