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11244630528 = 29322440241
BaseRepresentation
bin10100111100011101…
…10111001000000000
31002000122202102020100
422132032313020000
5141012111134103
65055443242400
7545436532245
oct123616671000
932018672210
1011244630528
11485033438a
122219979400
1310a280a041
1478958d5cc
1545c2b25a3
hex29e3b7200

11244630528 has 60 divisors (see below), whose sum is σ = 32452778358. Its totient is φ = 3748208640.

The previous prime is 11244630503. The next prime is 11244630533. The reversal of 11244630528 is 82503644211.

It is a happy number.

11244630528 is a `hidden beast` number, since 1 + 12 + 4 + 4 + 630 + 5 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7876917504 + 3367713024 = 88752^2 + 58032^2 .

It is a super-2 number, since 2×112446305282 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11244630492 and 11244630501.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1215513 + ... + 1224728.

Almost surely, 211244630528 is an apocalyptic number.

11244630528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11244630528 is an abundant number, since it is smaller than the sum of its proper divisors (21208147830).

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

11244630528 is an equidigital number, since it uses as much as digits as its factorization.

11244630528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440265 (or 2440246 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11244630528 in words is "eleven billion, two hundred forty-four million, six hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 2440241 4880482 7320723 9760964 14641446 19521928 21962169 29282892 39043856 43924338 58565784 78087712 87848676 117131568 156175424 175697352 234263136 312350848 351394704 468526272 624701696 702789408 937052544 1249403392 1405578816 1874105088 2811157632 3748210176 5622315264 11244630528