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2983128442866 = 23211131768173327
BaseRepresentation
bin101011011010010000010…
…011111010011111110010
3101120011222100110101000200
4223122100103322133302
5342333421340132431
610202232535300030
7425344463246625
oct53322023723762
911504870411020
102983128442866
11a50157266130
1240219781a616
1318840032b5c0
14a45542cddbc
15528e848dee6
hex2b6904fa7f2

2983128442866 has 96 divisors (see below), whose sum is σ = 8040089611008. Its totient is φ = 785356715520.

The previous prime is 2983128442787. The next prime is 2983128442873. The reversal of 2983128442866 is 6682448213892.

2983128442866 is a `hidden beast` number, since 2 + 9 + 8 + 3 + 128 + 442 + 8 + 66 = 666.

It is a super-2 number, since 2×29831284428662 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34042906 + ... + 34130421.

It is an arithmetic number, because the mean of its divisors is an integer number (83750933448).

Almost surely, 22983128442866 is an apocalyptic number.

2983128442866 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2983128442866 is an abundant number, since it is smaller than the sum of its proper divisors (5056961168142).

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

2983128442866 is a wasteful number, since it uses less digits than its factorization.

2983128442866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68173376 (or 68173373 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 2983128442866 in words is "two trillion, nine hundred eighty-three billion, one hundred twenty-eight million, four hundred forty-two thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 143 153 187 198 221 234 286 306 374 429 442 561 663 858 1122 1287 1326 1683 1989 2431 2574 3366 3978 4862 7293 14586 21879 43758 68173327 136346654 204519981 409039962 613559943 749906597 886253251 1158946559 1227119886 1499813194 1772506502 2249719791 2317893118 2658759753 3476839677 4499439582 5317519506 6749159373 6953679354 7976279259 9748785761 10430519031 12748412149 13498318746 15066305267 15952558518 19497571522 20861038062 25496824298 29246357283 30132610534 38245236447 45198915801 58492714566 76490472894 87739071849 90397831602 114735709341 135596747403 165729357937 175478143698 229471418682 271193494806 331458715874 497188073811 994376147622 1491564221433 2983128442866