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11006516150 = 252731447189
BaseRepresentation
bin10100100000000101…
…00001101110110110
31001102001200221201022
422100002201232312
5140020132004100
65020055501142
7536515562240
oct122002415666
931361627638
1011006516150
114738989543
1221720877b2
131065399566
14765ac9090
15446429e85
hex2900a1bb6

11006516150 has 24 divisors (see below), whose sum is σ = 23396709360. Its totient is φ = 3773662560.

The previous prime is 11006516083. The next prime is 11006516153. The reversal of 11006516150 is 5161560011.

It is a super-2 number, since 2×110065161502 (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 (11006516153) 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, 15723245 + ... + 15723944.

It is an arithmetic number, because the mean of its divisors is an integer number (974862890).

Almost surely, 211006516150 is an apocalyptic number.

11006516150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11006516150 is an abundant number, since it is smaller than the sum of its proper divisors (12390193210).

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

11006516150 is a wasteful number, since it uses less digits than its factorization.

11006516150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31447208 (or 31447203 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 11006516150 in words is "eleven billion, six million, five hundred sixteen thousand, one hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 175 350 31447189 62894378 157235945 220130323 314471890 440260646 786179725 1100651615 1572359450 2201303230 5503258075 11006516150