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20280339774720 = 28345237182499
BaseRepresentation
bin1001001110001111000100…
…11100101011110100000000
32122210210002202012121110000
410213013202130223310000
510124233113440242340
6111044354240240000
74162130503546224
oct447074234536400
978723082177400
1020280339774720
116509931106073
122336570910000
13b41573c5093c
14501806282784
15252811542d30
hex1271e272bd00

20280339774720 has 360 divisors, whose sum is σ = 72598250340000. Its totient is φ = 5405744148480.

The previous prime is 20280339774719. The next prime is 20280339774769. The reversal of 20280339774720 is 2747793308202.

It is a happy number.

20280339774720 is a `hidden beast` number, since 2 + 0 + 2 + 80 + 3 + 3 + 97 + 7 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×202803397747202 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245784031 + ... + 245866529.

It is an arithmetic number, because the mean of its divisors is an integer number (201661806500).

Almost surely, 220280339774720 is an apocalyptic number.

20280339774720 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 20280339774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36299125170000).

20280339774720 is an abundant number, since it is smaller than the sum of its proper divisors (52317910565280).

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

20280339774720 is an equidigital number, since it uses as much as digits as its factorization.

20280339774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84903 (or 84880 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 20280339774720 in words is "twenty trillion, two hundred eighty billion, three hundred thirty-nine million, seven hundred seventy-four thousand, seven hundred twenty".