Search a number
-
+
1166141999616 = 29311118158441
BaseRepresentation
bin10000111110000011011…
…110101100101000000000
311010111000102220111000020
4100332003132230220000
5123101224322441431
62251415050053440
7150152041306446
oct20760336545000
94114012814006
101166141999616
1140a6158372a0
1216a00a71a280
1385c74b5b759
1440627970b96
152050253a696
hex10f837aca00

1166141999616 has 160 divisors (see below), whose sum is σ = 3392027914176. Its totient is φ = 353071104000.

The previous prime is 1166141999611. The next prime is 1166141999647. The reversal of 1166141999616 is 6169991416611.

It is a self number, because there is not a number n which added to its sum of digits gives 1166141999616.

It is not an unprimeable number, because it can be changed into a prime (1166141999611) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19924956 + ... + 19983396.

Almost surely, 21166141999616 is an apocalyptic number.

1166141999616 is a gapful number since it is divisible by the number (16) 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 1166141999616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696013957088).

1166141999616 is an abundant number, since it is smaller than the sum of its proper divisors (2225885914560).

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

1166141999616 is a wasteful number, since it uses less digits than its factorization.

1166141999616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59654 (or 59638 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 60.

The spelling of 1166141999616 in words is "one trillion, one hundred sixty-six billion, one hundred forty-one million, nine hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1181 1408 1536 2112 2362 2816 3543 4224 4724 5632 7086 8448 9448 12991 14172 16896 18896 25982 28344 37792 38973 51964 56688 58441 75584 77946 103928 113376 116882 151168 155892 175323 207856 226752 233764 302336 311784 350646 415712 453504 467528 604672 623568 642851 701292 831424 907008 935056 1247136 1285702 1402584 1662848 1814016 1870112 1928553 2494272 2571404 2805168 3325696 3740224 3857106 4988544 5142808 5610336 6651392 7480448 7714212 9977088 10285616 11220672 14960896 15428424 19954176 20571232 22441344 29921792 30856848 41142464 44882688 61713696 69018821 82284928 89765376 123427392 138037642 164569856 207056463 246854784 276075284 329139712 414112926 493709568 552150568 759207031 828225852 987419136 1104301136 1518414062 1656451704 2208602272 2277621093 3036828124 3312903408 4417204544 4555242186 6073656248 6625806816 8834409088 9110484372 12147312496 13251613632 17668818176 18220968744 24294624992 26503227264 35337636352 36441937488 48589249984 53006454528 72883874976 97178499968 106012909056 145767749952 194356999936 291535499904 388713999872 583070999808 1166141999616