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11000516660 = 2257211225017
BaseRepresentation
bin10100011111010111…
…01001000000110100
31001101122102010221222
422033223221000310
5140012113013120
65015323125512
7536413564100
oct121753510064
931348363858
1011000516660
114735560a91
122170073898
131064078873
14764da6900
15445b42525
hex28fae9034

11000516660 has 36 divisors (see below), whose sum is σ = 26872693092. Its totient is φ = 3771605376.

The previous prime is 11000516647. The next prime is 11000516663. The reversal of 11000516660 is 6661500011.

It can be written as a sum of positive squares in 2 ways, for example, as 8542935184 + 2457581476 = 92428^2 + 49574^2 .

It is a super-2 number, since 2×110005166602 (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 (11000516663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5611529 + ... + 5613488.

It is an arithmetic number, because the mean of its divisors is an integer number (746463697).

Almost surely, 211000516660 is an apocalyptic number.

11000516660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000516660 is an abundant number, since it is smaller than the sum of its proper divisors (15872176432).

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

11000516660 is a wasteful number, since it uses less digits than its factorization.

11000516660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11225040 (or 11225031 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 11000516660 in words is "eleven billion, five hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 11225017 22450034 44900068 56125085 78575119 112250170 157150238 224500340 314300476 392875595 550025833 785751190 1100051666 1571502380 2200103332 2750129165 5500258330 11000516660