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11006663144312 = 2311798917789179
BaseRepresentation
bin1010000000101011000000…
…1111110011001101111000
31102222020010021112110222002
42200022300033303031320
52420313121231104222
635224220301520132
72214130242032123
oct240126017631570
942866107473862
1011006663144312
113563999446950
1212991b9273048
1361ac019c68b4
142a0a224873ba
15141496634392
hexa02b03f3378

11006663144312 has 64 divisors (see below), whose sum is σ = 23054777280000. Its totient is φ = 4884196711680.

The previous prime is 11006663144231. The next prime is 11006663144317. The reversal of 11006663144312 is 21344136660011.

It is a super-2 number, since 2×110066631443122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006663144317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8275862 + ... + 9513317.

It is an arithmetic number, because the mean of its divisors is an integer number (360230895000).

Almost surely, 211006663144312 is an apocalyptic number.

It is an amenable number.

11006663144312 is an abundant number, since it is smaller than the sum of its proper divisors (12048114135688).

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

11006663144312 is a wasteful number, since it uses less digits than its factorization.

11006663144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17789364 (or 17789360 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 11006663144312 in words is "eleven trillion, six billion, six hundred sixty-three million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 79 88 89 158 178 316 356 632 712 869 979 1738 1958 3476 3916 6952 7031 7832 14062 28124 56248 77341 154682 309364 618728 17789179 35578358 71156716 142313432 195680969 391361938 782723876 1405345141 1565447752 1583236931 2810690282 3166473862 5621380564 6332947724 11242761128 12665895448 15458796551 17415606241 30917593102 34831212482 61835186204 69662424964 123670372408 125075717549 139324849928 250151435098 500302870196 1000605740392 1375832893039 2751665786078 5503331572156 11006663144312