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11050105068 = 22328314932477
BaseRepresentation
bin10100100101010001…
…10011100011101100
31001112002201111110200
422102220303203230
5140112311330233
65024254033500
7540555225522
oct122250634354
931462644420
1011050105068
114760550542
1221847a8890
13107141b812
1476b7d4312
1544a18a313
hex292a338ec

11050105068 has 72 divisors (see below), whose sum is σ = 28299097008. Its totient is φ = 3635084928.

The previous prime is 11050105061. The next prime is 11050105069. The reversal of 11050105068 is 86050105011.

It is a super-3 number, since 3×110501050683 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11050105061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4459846 + ... + 4462322.

It is an arithmetic number, because the mean of its divisors is an integer number (393043014).

Almost surely, 211050105068 is an apocalyptic number.

11050105068 is a gapful number since it is divisible by the number (18) 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 11050105068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14149548504).

11050105068 is an abundant number, since it is smaller than the sum of its proper divisors (17248991940).

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

11050105068 is a wasteful number, since it uses less digits than its factorization.

11050105068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 11050105068 in words is "eleven billion, fifty million, one hundred five thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1493 1494 2477 2986 2988 4479 4954 5972 7431 8958 9908 13437 14862 17916 22293 26874 29724 44586 53748 89172 123919 205591 247838 371757 411182 495676 616773 743514 822364 1115271 1233546 1487028 1850319 2230542 2467092 3698161 3700638 4461084 7396322 7401276 11094483 14792644 22188966 33283449 44377932 66566898 133133796 306947363 613894726 920842089 1227789452 1841684178 2762526267 3683368356 5525052534 11050105068