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20675474673984 = 2632133737402541
BaseRepresentation
bin1001011001101111000100…
…10100101101000101000000
32201012120000101020020212200
410230313202110231011000
510202221333004031414
6111550103144353200
74232516352020124
oct454674224550500
981176011206780
1020675474673984
116651468499259
12239b066775800
13b6c8c5672b40
145169ac25b584
1525cc3ac80109
hex12cde252d140

20675474673984 has 168 divisors, whose sum is σ = 63992281064712. Its totient is φ = 6344628203520.

The previous prime is 20675474673947. The next prime is 20675474673991. The reversal of 20675474673984 is 48937647457602.

20675474673984 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 5 + 474 + 6 + 73 + 9 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2302866950400 + 18372607723584 = 1517520^2 + 4286328^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 908247 + ... + 6494294.

It is an arithmetic number, because the mean of its divisors is an integer number (380906434909).

Almost surely, 220675474673984 is an apocalyptic number.

20675474673984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20675474673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31996140532356).

20675474673984 is an abundant number, since it is smaller than the sum of its proper divisors (43316806390728).

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

20675474673984 is a wasteful number, since it uses less digits than its factorization.

20675474673984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7402945 (or 7402932 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 20675474673984 in words is "twenty trillion, six hundred seventy-five billion, four hundred seventy-four million, six hundred seventy-three thousand, nine hundred eighty-four".