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1136997666 = 23273613019
BaseRepresentation
bin100001111000101…
…0011010100100010
32221020110110120200
41003301103110202
54312032411131
6304453450030
740114215000
oct10361232442
92836413520
101136997666
115338951a2
12278940916
13151735aac
14ab00da70
1569c432e6
hex43c53522

1136997666 has 96 divisors (see below), whose sum is σ = 2920944000. Its totient is φ = 319425120.

The previous prime is 1136997649. The next prime is 1136997671. The reversal of 1136997666 is 6667996311.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375105 + ... + 378123.

It is an arithmetic number, because the mean of its divisors is an integer number (30426500).

Almost surely, 21136997666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136997666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460472000).

1136997666 is an abundant number, since it is smaller than the sum of its proper divisors (1783946334).

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

1136997666 is a wasteful number, since it uses less digits than its factorization.

1136997666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3092 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 1136997666 is about 33719.3959910316. The cubic root of 1136997666 is about 1043.7260533261.

The spelling of 1136997666 in words is "one billion, one hundred thirty-six million, nine hundred ninety-seven thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 61 63 98 122 126 147 183 294 343 366 427 441 549 686 854 882 1029 1098 1281 2058 2562 2989 3019 3087 3843 5978 6038 6174 7686 8967 9057 17934 18114 20923 21133 26901 27171 41846 42266 53802 54342 62769 63399 125538 126798 147931 184159 188307 190197 295862 368318 376614 380394 443793 552477 887586 1035517 1104954 1289113 1331379 1657431 2071034 2578226 2662758 3106551 3314862 3867339 6213102 7734678 9023791 9319653 11602017 18047582 18639306 23204034 27071373 54142746 63166537 81214119 126333074 162428238 189499611 378999222 568498833 1136997666