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11006376695556 = 223111717927401131
BaseRepresentation
bin1010000000101001111100…
…1011000101011100000100
31102222012101022112101010220
42200022133023011130010
52420312024413224211
635224132030144340
72214120163202424
oct240123713053404
942865338471126
1011006376695556
113563861788740
1212991393520b0
1361ab87561ba8
142a09d6400484
1514147b400806
hexa029f2c5704

11006376695556 has 96 divisors (see below), whose sum is σ = 29829968340480. Its totient is φ = 3121536729600.

The previous prime is 11006376695443. The next prime is 11006376695557. The reversal of 11006376695556 is 65559667360011.

It is a super-2 number, since 2×110063766955562 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006376695556.

It is not an unprimeable number, because it can be changed into a prime (11006376695557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13298890 + ... + 14102241.

It is an arithmetic number, because the mean of its divisors is an integer number (310728836880).

Almost surely, 211006376695556 is an apocalyptic number.

It is an amenable number.

11006376695556 is an abundant number, since it is smaller than the sum of its proper divisors (18823591644924).

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

11006376695556 is a wasteful number, since it uses less digits than its factorization.

11006376695556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27401345 (or 27401343 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 60.

The spelling of 11006376695556 in words is "eleven trillion, six billion, three hundred seventy-six million, six hundred ninety-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 179 187 204 358 374 537 561 716 748 1074 1122 1969 2148 2244 3043 3938 5907 6086 7876 9129 11814 12172 18258 23628 33473 36516 66946 100419 133892 200838 401676 27401131 54802262 82203393 109604524 164406786 301412441 328813572 465819227 602824882 904237323 931638454 1205649764 1397457681 1808474646 1863276908 2794915362 3616949292 4904802449 5124011497 5589830724 9809604898 10248022994 14714407347 15372034491 19619209796 20496045988 29428814694 30744068982 53952826939 58857629388 61488137964 83381641633 107905653878 161858480817 166763283266 215811307756 250144924899 323716961634 333526566532 500289849798 647433923268 917198057963 1000579699596 1834396115926 2751594173889 3668792231852 5503188347778 11006376695556