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20682327435903 = 327893688661929
BaseRepresentation
bin1001011001111011110101…
…10001111010101001111111
32201020012200221220121222200
410230331322301322221333
510202324401310422103
6111553155143042543
74233151232361630
oct454757261725177
981205627817880
1020682327435903
116654364717761
1223a0459740453
13b70448306053
1451705c40b887
1525cedc6b30a3
hex12cf7ac7aa7f

20682327435903 has 24 divisors (see below), whose sum is σ = 34525875664800. Its totient is φ = 11685680987904.

The previous prime is 20682327435863. The next prime is 20682327435907. The reversal of 20682327435903 is 30953472328602.

It is a happy number.

20682327435903 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 2 + 3 + 2 + 7 + 43 + 590 + 3 = 666.

It is not a de Polignac number, because 20682327435903 - 222 = 20682323241599 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20682327435903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20682327435907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1844325358 + ... + 1844336571.

It is an arithmetic number, because the mean of its divisors is an integer number (1438578152700).

Almost surely, 220682327435903 is an apocalyptic number.

20682327435903 is a deficient number, since it is larger than the sum of its proper divisors (13843548228897).

20682327435903 is a wasteful number, since it uses less digits than its factorization.

20682327435903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688662031 (or 3688662028 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 20682327435903 in words is "twenty trillion, six hundred eighty-two billion, three hundred twenty-seven million, four hundred thirty-five thousand, nine hundred three".

Divisors: 1 3 7 9 21 63 89 267 623 801 1869 5607 3688661929 11065985787 25820633503 33197957361 77461900509 232385701527 328290911681 984872735043 2298036381767 2954618205129 6894109145301 20682327435903