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20605273620480 = 21434523374189
BaseRepresentation
bin1001010111101100010100…
…00000111100000000000000
32200221211210221120020110000
410223312022000330000000
510200044100021323410
6111453533152240000
74224452613634503
oct453661200740000
980854727506400
1020605273620480
11662471386476a
122389534540000
13b660b8692823
1451342ca6b13a
1525aeccba7dc0
hex12bd8a03c000

20605273620480 has 2400 divisors, whose sum is σ = 82008702357120. Its totient is φ = 4933004820480.

The previous prime is 20605273620461. The next prime is 20605273620487. The reversal of 20605273620480 is 8402637250602.

20605273620480 is a `hidden beast` number, since 2 + 0 + 60 + 52 + 7 + 3 + 62 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20605273620487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 231519928276 + ... + 231519928364.

Almost surely, 220605273620480 is an apocalyptic number.

20605273620480 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 20605273620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41004351178560).

20605273620480 is an abundant number, since it is smaller than the sum of its proper divisors (61403428736640).

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

20605273620480 is an equidigital number, since it uses as much as digits as its factorization.

20605273620480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20605273620480 in words is "twenty trillion, six hundred five billion, two hundred seventy-three million, six hundred twenty thousand, four hundred eighty".