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11554165664145 = 3451311319420561
BaseRepresentation
bin1010100000100010100111…
…1100001010100110010001
31111220120022200010020010000
42220020221330022212101
53003300412402223040
640323524353000213
72301521665462116
oct250105174124621
944816280106100
1011554165664145
1137551043345a5
121367336853069
1365a726357b70
142bd32044490d
1515083c72d130
hexa8229f0a991

11554165664145 has 80 divisors (see below), whose sum is σ = 22502527507152. Its totient is φ = 5637866250240.

The previous prime is 11554165664059. The next prime is 11554165664179. The reversal of 11554165664145 is 54146656145511.

11554165664145 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 4 + 165 + 66 + 414 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5369638293504 + 6184527370641 = 2317248^2 + 2486871^2 .

It is not a de Polignac number, because 11554165664145 - 216 = 11554165598609 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11554165664091 and 11554165664100.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9115336 + ... + 10305225.

Almost surely, 211554165664145 is an apocalyptic number.

11554165664145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11554165664145 is a deficient number, since it is larger than the sum of its proper divisors (10948361843007).

11554165664145 is a wasteful number, since it uses less digits than its factorization.

11554165664145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19420704 (or 19420695 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 54.

The spelling of 11554165664145 in words is "eleven trillion, five hundred fifty-four billion, one hundred sixty-five million, six hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 113 117 135 195 339 351 405 565 585 1017 1053 1469 1695 1755 3051 4407 5085 5265 7345 9153 13221 15255 22035 39663 45765 66105 118989 198315 594945 19420561 58261683 97102805 174785049 252467293 291308415 524355147 757401879 873925245 1262336465 1573065441 2194523393 2272205637 2621775735 3787009395 6583570179 6816616911 7865327205 10972616965 11361028185 19750710537 20449850733 28528804109 32917850895 34083084555 59252131611 85586412327 98753552685 102249253665 142644020545 177756394833 256759236981 296260658055 427932061635 770277710943 888781974165 1283796184905 2310833132829 3851388554715 11554165664145