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11051216370 = 234519017177
BaseRepresentation
bin10100100101011010…
…00010110111110010
31001112011210221220000
422102231002313302
5140113102410440
65024333530430
7540600534465
oct122255026762
931464727800
1011051216370
11476113a477
122185043a16
13107171a5ac
1476ba032dc
1544a309730
hex292b42df2

11051216370 has 80 divisors (see below), whose sum is σ = 29735266968. Its totient is φ = 2945030400.

The previous prime is 11051216359. The next prime is 11051216413. The reversal of 11051216370 is 7361215011.

11051216370 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 1 + 21 + 637 + 0 = 666.

11051216370 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 4 ways, for example, as 8983058841 + 2068157529 = 94779^2 + 45477^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1536222 + ... + 1543398.

Almost surely, 211051216370 is an apocalyptic number.

11051216370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11051216370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14867633484).

11051216370 is an abundant number, since it is smaller than the sum of its proper divisors (18684050598).

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

11051216370 is a wasteful number, since it uses less digits than its factorization.

11051216370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097 (or 9088 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 11051216370 in words is "eleven billion, fifty-one million, two hundred sixteen thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1901 3802 5703 7177 9505 11406 14354 17109 19010 21531 28515 34218 35885 43062 51327 57030 64593 71770 85545 102654 107655 129186 153981 171090 193779 215310 256635 307962 322965 387558 513270 581337 645930 769905 968895 1162674 1539810 1937790 2906685 5813370 13643477 27286954 40930431 68217385 81860862 122791293 136434770 204652155 245582586 368373879 409304310 613956465 736747758 1105121637 1227912930 1841869395 2210243274 3683738790 5525608185 11051216370