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20741573422080 = 210345717487863
BaseRepresentation
bin1001011011101010001100…
…00111011010110000000000
32201102212121220200120020000
410231311012013122300000
510204312220244001310
6112040314114120000
74240346345062410
oct455650607326000
981385556616200
1020741573422080
1166774a7512aa5
1223aba32b80000
13b75bca7917c4
14519c7caa6640
1525e808b244c0
hex12dd461dac00

20741573422080 has 1760 divisors, whose sum is σ = 90229909118976. Its totient is φ = 4447730663424.

The previous prime is 20741573422067. The next prime is 20741573422091. The reversal of 20741573422080 is 8022437514702.

20741573422080 is a `hidden beast` number, since 2 + 0 + 7 + 415 + 7 + 3 + 4 + 220 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24034267729 + ... + 24034268591.

Almost surely, 220741573422080 is an apocalyptic number.

20741573422080 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 20741573422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45114954559488).

20741573422080 is an abundant number, since it is smaller than the sum of its proper divisors (69488335696896).

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

20741573422080 is a wasteful number, since it uses less digits than its factorization.

20741573422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 20741573422080 in words is "twenty trillion, seven hundred forty-one billion, five hundred seventy-three million, four hundred twenty-two thousand, eighty".