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11001433660 = 22575311313121
BaseRepresentation
bin10100011111011110…
…01000111000111100
31001101201010201211221
422033233020320330
5140012331334120
65015354523124
7536424433420
oct121757107074
931351121757
1011001433660
114736027a38
1221704364a4
13106430a079
14765164b80
15445c740aa
hex28fbc8e3c

11001433660 has 96 divisors (see below), whose sum is σ = 27141754752. Its totient is φ = 3667722240.

The previous prime is 11001433633. The next prime is 11001433673. The reversal of 11001433660 is 6633410011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 831900 + ... + 845020.

It is an arithmetic number, because the mean of its divisors is an integer number (282726612).

Almost surely, 211001433660 is an apocalyptic number.

11001433660 is a gapful number since it is divisible by the number (10) 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 11001433660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570877376).

11001433660 is an abundant number, since it is smaller than the sum of its proper divisors (16140321092).

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

11001433660 is a wasteful number, since it uses less digits than its factorization.

11001433660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13303 (or 13301 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 11001433660 its reverse (6633410011), we get a palindrome (17634843671).

The spelling of 11001433660 in words is "eleven billion, one million, four hundred thirty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 113 140 212 226 265 371 452 530 565 742 791 1060 1130 1484 1582 1855 2260 3164 3710 3955 5989 7420 7910 11978 13121 15820 23956 26242 29945 41923 52484 59890 65605 83846 91847 119780 131210 167692 183694 209615 262420 367388 419230 459235 695413 838460 918470 1390826 1482673 1836940 2781652 2965346 3477065 4867891 5930692 6954130 7413365 9735782 10378711 13908260 14826730 19471564 20757422 24339455 29653460 41514844 48678910 51893555 78581669 97357820 103787110 157163338 207574220 314326676 392908345 550071683 785816690 1100143366 1571633380 2200286732 2750358415 5500716830 11001433660