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11217912288 = 2531110623023
BaseRepresentation
bin10100111001010001…
…11100000111100000
31001221210110222200220
422130220330013200
5140433241143123
65053050443040
7544663452432
oct123450740740
931853428626
1011217912288
1148372455a0
122210a33480
13109a113a2b
14785bd6652
15459c85ce3
hex29ca3c1e0

11217912288 has 48 divisors (see below), whose sum is σ = 32124024576. Its totient is φ = 3399367040.

The previous prime is 11217912287. The next prime is 11217912289. The reversal of 11217912288 is 88221971211.

It is an interprime number because it is at equal distance from previous prime (11217912287) and next prime (11217912289).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×112179122882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11217912287) 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, 5310456 + ... + 5312567.

It is an arithmetic number, because the mean of its divisors is an integer number (669250512).

Almost surely, 211217912288 is an apocalyptic number.

It is an amenable number.

11217912288 is an abundant number, since it is smaller than the sum of its proper divisors (20906112288).

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

11217912288 is a wasteful number, since it uses less digits than its factorization.

11217912288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10623047 (or 10623039 counting only the distinct ones).

The product of its digits is 32256, while the sum is 42.

The spelling of 11217912288 in words is "eleven billion, two hundred seventeen million, nine hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 10623023 21246046 31869069 42492092 63738138 84984184 116853253 127476276 169968368 233706506 254952552 339936736 350559759 467413012 509905104 701119518 934826024 1019810208 1402239036 1869652048 2804478072 3739304096 5608956144 11217912288