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21166371147688 = 23139111597139891
BaseRepresentation
bin1001101000000001011100…
…00010001000111110101000
32202221111002210112220201121
410310000232002020332220
510233242212003211223
6113003410251425024
74313135260135504
oct464005602107650
982844083486647
1021166371147688
1168206757856a8
12245a226a55174
13ba6c98763a60
1453265a3db304
1526a8bc58715d
hex13402e088fa8

21166371147688 has 64 divisors (see below), whose sum is σ = 42813801112320. Its totient is φ = 9752190739200.

The previous prime is 21166371147659. The next prime is 21166371147689. The reversal of 21166371147688 is 88674117366112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21166371147689) 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, 151236223 + ... + 151376113.

It is an arithmetic number, because the mean of its divisors is an integer number (668965642380).

Almost surely, 221166371147688 is an apocalyptic number.

It is an amenable number.

21166371147688 is an abundant number, since it is smaller than the sum of its proper divisors (21647429964632).

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

21166371147688 is a wasteful number, since it uses less digits than its factorization.

21166371147688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142418 (or 142414 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 61.

The spelling of 21166371147688 in words is "twenty-one trillion, one hundred sixty-six billion, three hundred seventy-one million, one hundred forty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 26 52 104 911 1597 1822 3194 3644 6388 7288 11843 12776 20761 23686 41522 47372 83044 94744 139891 166088 279782 559564 1119128 1454867 1818583 2909734 3637166 5819468 7274332 11638936 14548664 18913271 37826542 75653084 127440701 151306168 223405927 254881402 446811854 509762804 893623708 1019525608 1656729113 1787247416 2904277051 3313458226 5808554102 6626916452 11617108204 13253832904 23234216408 203522799497 407045598994 814091197988 1628182395976 2645796393461 5291592786922 10583185573844 21166371147688