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20662548940800 = 211355213231317
BaseRepresentation
bin1001011001010110111111…
…11000111100100000000000
32201011022122120011222100000
410230223133320330200000
510202013400012101200
6111540124405200000
74231551140056614
oct454533770744000
981138576158300
1020662548940800
116646a35229638
122398659a00000
13b6b6157a4b00
14516103705344
1525c7310ed300
hex12cadfe3c800

20662548940800 has 2592 divisors, whose sum is σ = 86048870019840. Its totient is φ = 4906568908800.

The previous prime is 20662548940799. The next prime is 20662548940801. The reversal of 20662548940800 is 804984526602.

20662548940800 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 2 + 548 + 94 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20662548940799) and next prime (20662548940801).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20662548940801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 65181542242 + ... + 65181542558.

It is an arithmetic number, because the mean of its divisors is an integer number (33197866520).

Almost surely, 220662548940800 is an apocalyptic number.

20662548940800 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 20662548940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43024435009920).

20662548940800 is an abundant number, since it is smaller than the sum of its proper divisors (65386321079040).

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

20662548940800 is a wasteful number, since it uses less digits than its factorization.

20662548940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 20662548940800 in words is "twenty trillion, six hundred sixty-two billion, five hundred forty-eight million, nine hundred forty thousand, eight hundred".