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20495539597680 = 2432573374352163
BaseRepresentation
bin1001010100011111111010…
…10110110111000101110000
32200120100120101122022012100
410222033331112313011300
510141244331114111210
6111331304303300400
74213516402062000
oct452177526670560
980510511568170
1020495539597680
116592122870224
12237020a8aa700
13b5894b3106a4
1450bdbcd22000
152582090ed5c0
hex12a3fd5b7170

20495539597680 has 960 divisors, whose sum is σ = 84357450777600. Its totient is φ = 4451994150912.

The previous prime is 20495539597669. The next prime is 20495539597759. The reversal of 20495539597680 is 8679593559402.

It is a happy number.

20495539597680 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 5 + 539 + 5 + 9 + 7 + 6 + 80 = 666.

It is a super-2 number, since 2×204955395976802 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20495539597599 and 20495539597608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 392887279 + ... + 392939441.

It is an arithmetic number, because the mean of its divisors is an integer number (87872344560).

Almost surely, 220495539597680 is an apocalyptic number.

20495539597680 is a gapful number since it is divisible by the number (20) 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 20495539597680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42178725388800).

20495539597680 is an abundant number, since it is smaller than the sum of its proper divisors (63861911179920).

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

20495539597680 is a wasteful number, since it uses less digits than its factorization.

20495539597680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52283 (or 52260 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 20495539597680 in words is "twenty trillion, four hundred ninety-five billion, five hundred thirty-nine million, five hundred ninety-seven thousand, six hundred eighty".