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11210999472 = 24321078532
BaseRepresentation
bin10100111000011101…
…00100011010110000
31001221022110210002200
422130032210122300
5140430003440342
65052242343200
7544550631441
oct123416443260
931838423080
1011210999472
114833353922
12220a65ab00
1310988633ca
14784d172c8
1545936c94c
hex29c3a46b0

11210999472 has 90 divisors (see below), whose sum is σ = 31705623612. Its totient is φ = 3697734528.

The previous prime is 11210999461. The next prime is 11210999479. The reversal of 11210999472 is 27499901211.

It is a happy number.

It is a super-2 number, since 2×112109994722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11210999479) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13142598 + ... + 13143450.

Almost surely, 211210999472 is an apocalyptic number.

11210999472 is a gapful number since it is divisible by the number (12) 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 11210999472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852811806).

11210999472 is an abundant number, since it is smaller than the sum of its proper divisors (20494624140).

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

11210999472 is an equidigital number, since it uses as much as digits as its factorization.

11210999472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 11210999472 in words is "eleven billion, two hundred ten million, nine hundred ninety-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 853 856 963 1284 1706 1712 1926 2559 2568 3412 3852 5118 5136 6824 7677 7704 10236 13648 15354 15408 20472 30708 40944 61416 91271 122832 182542 273813 365084 547626 727609 730168 821439 1095252 1455218 1460336 1642878 2182827 2190504 2910436 3285756 4365654 4381008 5820872 6548481 6571512 8731308 11641744 13096962 13143024 17462616 26193924 34925232 52387848 77854163 104775696 155708326 233562489 311416652 467124978 622833304 700687467 934249956 1245666608 1401374934 1868499912 2802749868 3736999824 5605499736 11210999472