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20327458733568 = 2933773239419
BaseRepresentation
bin1001001111100110110101…
…11101001111111000000000
32122222021201112211201121000
410213303122331033320000
510131021113413433233
6111122150003132000
74165416243233130
oct447633275177000
978867645751530
1020327458733568
116527910579278
122343720974000
13b45b42b5a18c
14503bd60d4ac0
15253b6cee0d13
hex127cdaf4fe00

20327458733568 has 480 divisors, whose sum is σ = 69723182073600. Its totient is φ = 5728140509184.

The previous prime is 20327458733551. The next prime is 20327458733579. The reversal of 20327458733568 is 86533785472302.

20327458733568 is a `hidden beast` number, since 2 + 0 + 3 + 27 + 45 + 8 + 7 + 3 + 3 + 568 = 666.

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 47 ways as a sum of consecutive naturals, for example, 515656963 + ... + 515696381.

It is an arithmetic number, because the mean of its divisors is an integer number (145256629320).

Almost surely, 220327458733568 is an apocalyptic number.

20327458733568 is a gapful number since it is divisible by the number (28) 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 20327458733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34861591036800).

20327458733568 is an abundant number, since it is smaller than the sum of its proper divisors (49395723340032).

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

20327458733568 is an frugal number, since it uses more digits than its factorization.

20327458733568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39599 (or 39504 counting only the distinct ones).

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

The spelling of 20327458733568 in words is "twenty trillion, three hundred twenty-seven billion, four hundred fifty-eight million, seven hundred thirty-three thousand, five hundred sixty-eight".