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20674556743680 = 21234573179727
BaseRepresentation
bin1001011001101101010111…
…00111000101000000000000
32201012110122101222120020000
410230312223213011000000
510202212443011244210
6111545432114120000
74232454534522360
oct454665347050000
981173571876200
1020674556743680
11665103732a674
12239aa4b280000
13b6c7aa43c108
145169223949a0
1525cbd53b0ac0
hex12cdab9c5000

20674556743680 has 2080 divisors, whose sum is σ = 88661459927040. Its totient is φ = 4509074718720.

The previous prime is 20674556743669. The next prime is 20674556743751. The reversal of 20674556743680 is 8634765547602.

It is a happy number.

20674556743680 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 4 + 5 + 567 + 4 + 3 + 68 + 0 = 666.

It is a super-3 number, since 3×206745567436803 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28438179477 + ... + 28438180203.

It is an arithmetic number, because the mean of its divisors is an integer number (42625701888).

Almost surely, 220674556743680 is an apocalyptic number.

20674556743680 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 20674556743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44330729963520).

20674556743680 is an abundant number, since it is smaller than the sum of its proper divisors (67986903183360).

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

20674556743680 is an equidigital number, since it uses as much as digits as its factorization.

20674556743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 20674556743680 in words is "twenty trillion, six hundred seventy-four billion, five hundred fifty-six million, seven hundred forty-three thousand, six hundred eighty".