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20982164144 = 2461107331607
BaseRepresentation
bin10011100010101000…
…100110101010110000
32000011021122101011112
4103202220212222300
5320432413223034
613350012332452
71341646311134
oct234250465260
960137571145
1020982164144
118997980527
124096a74128
131c9500b756
14103090d3c4
1582c0c77ce
hex4e2a26ab0

20982164144 has 80 divisors (see below), whose sum is σ = 41900461056. Its totient is φ = 10174982400.

The previous prime is 20982164101. The next prime is 20982164191. The reversal of 20982164144 is 44146128902.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34566689 + ... + 34567295.

Almost surely, 220982164144 is an apocalyptic number.

It is an amenable number.

20982164144 is a deficient number, since it is larger than the sum of its proper divisors (20918296912).

20982164144 is a wasteful number, since it uses less digits than its factorization.

20982164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 20982164144 in words is "twenty billion, nine hundred eighty-two million, one hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 61 107 122 214 244 331 428 488 607 662 856 976 1214 1324 1712 2428 2648 4856 5296 6527 9712 13054 20191 26108 35417 37027 40382 52216 64949 70834 74054 80764 104432 129898 141668 148108 161528 200917 259796 283336 296216 323056 401834 519592 566672 592432 803668 1039184 1607336 2160437 3214672 3961889 4320874 7923778 8641748 12255937 15847556 17283496 21498119 24511874 31695112 34566992 42996238 49023748 63390224 85992476 98047496 171984952 196094992 343969904 1311385259 2622770518 5245541036 10491082072 20982164144