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18683412298272 = 2532162739872747
BaseRepresentation
bin1000011111110000100100…
…01001110011101000100000
32110011010011010102111102100
410033320102021303220200
54422102112022021042
6103423012514250400
73635555242141611
oct417702211635040
973133133374370
1018683412298272
115a53655192047
122118b78b86a00
13a56ab8752497
144883d3a79c08
15225ee9a7b24c
hex10fe12273a20

18683412298272 has 72 divisors (see below), whose sum is σ = 53163610836336. Its totient is φ = 6223976159616.

The previous prime is 18683412298249. The next prime is 18683412298273. The reversal of 18683412298272 is 27289221438681.

18683412298272 is a `hidden beast` number, since 1 + 8 + 68 + 3 + 4 + 12 + 298 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (18683412298273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19467798 + ... + 20404949.

It is an arithmetic number, because the mean of its divisors is an integer number (738383483838).

Almost surely, 218683412298272 is an apocalyptic number.

18683412298272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18683412298272 is an abundant number, since it is smaller than the sum of its proper divisors (34480198538064).

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

18683412298272 is a wasteful number, since it uses less digits than its factorization.

18683412298272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39874390 (or 39874379 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 18683412298272 in words is "eighteen trillion, six hundred eighty-three billion, four hundred twelve million, two hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1627 3254 4881 6508 9762 13016 14643 19524 26032 29286 39048 52064 58572 78096 117144 156192 234288 468576 39872747 79745494 119618241 159490988 239236482 318981976 358854723 478472964 637963952 717709446 956945928 1275927904 1435418892 1913891856 2870837784 3827783712 5741675568 11483351136 64872959369 129745918738 194618878107 259491837476 389237756214 518983674952 583856634321 778475512428 1037967349904 1167713268642 1556951024856 2075934699808 2335426537284 3113902049712 4670853074568 6227804099424 9341706149136 18683412298272