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11084720660 = 22513269158489
BaseRepresentation
bin10100101001011001…
…10110101000010100
31001121111212011010122
422110230312220110
5140200142030120
65031532011112
7541455366566
oct122454665024
931544764118
1011084720660
114779043772
122194300a98
13107864b610
14772245336
1544d226a25
hex294b36a14

11084720660 has 48 divisors (see below), whose sum is σ = 25161872400. Its totient is φ = 4077579264.

The previous prime is 11084720653. The next prime is 11084720693. The reversal of 11084720660 is 6602748011.

It can be written as a sum of positive squares in 8 ways, for example, as 6980268304 + 4104452356 = 83548^2 + 64066^2 .

It is a super-2 number, since 2×110847206602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11084720660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9305 + ... + 149184.

It is an arithmetic number, because the mean of its divisors is an integer number (524205675).

Almost surely, 211084720660 is an apocalyptic number.

11084720660 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 11084720660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580936200).

11084720660 is an abundant number, since it is smaller than the sum of its proper divisors (14077151740).

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

11084720660 is a wasteful number, since it uses less digits than its factorization.

11084720660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158780 (or 158778 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 11084720660 in words is "eleven billion, eighty-four million, seven hundred twenty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 269 538 1076 1345 2690 3497 5380 6994 13988 17485 34970 69940 158489 316978 633956 792445 1584890 2060357 3169780 4120714 8241428 10301785 20603570 41207140 42633541 85267082 170534164 213167705 426335410 554236033 852670820 1108472066 2216944132 2771180165 5542360330 11084720660