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11076566660 = 2256115757829
BaseRepresentation
bin10100101000011011…
…01111111010000100
31001120221111212221122
422110031233322010
5140141100113120
65031041133112
7541326156155
oct122415577204
931527455848
1011076566660
114774484525
12219162a198
131076a55073
1477112192c
1544c665a25
hex29436fe84

11076566660 has 48 divisors (see below), whose sum is σ = 23793112560. Its totient is φ = 4330160640.

The previous prime is 11076566647. The next prime is 11076566663. The reversal of 11076566660 is 6666567011.

11076566660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2276625796 + 8799940864 = 47714^2 + 93808^2 .

It is not an unprimeable number, because it can be changed into a prime (11076566663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162626 + ... + 220454.

It is an arithmetic number, because the mean of its divisors is an integer number (495689845).

Almost surely, 211076566660 is an apocalyptic number.

11076566660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11076566660 is an abundant number, since it is smaller than the sum of its proper divisors (12716545900).

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

11076566660 is a wasteful number, since it uses less digits than its factorization.

11076566660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58056 (or 58054 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 11076566660 in words is "eleven billion, seventy-six million, five hundred sixty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 61 122 157 244 305 314 610 628 785 1220 1570 3140 9577 19154 38308 47885 57829 95770 115658 191540 231316 289145 578290 1156580 3527569 7055138 9079153 14110276 17637845 18158306 35275690 36316612 45395765 70551380 90791530 181583060 553828333 1107656666 2215313332 2769141665 5538283330 11076566660